How to find the height of an acute / obtuse triangle - SSAT Upper Level Quantitative

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Question

The area of a triangle is , and the base of the triangle is . What is the height for this triangle?

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Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$240=\frac{30 \times h}{2}$$

The height of the triangle is .

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Question

A triangle has an area of and a base of . In meters, find the height.

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Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$360=\frac{60\times h}{2}$$

The height of the triangle is meters.

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Question

A triangle has an area of and a base of . Find the height.

Tap to reveal answer

Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$45=\frac{15\times h}{2}$$

The height of the triangle is .

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Question

A triangle has an area of and a base of . Find the height.

Tap to reveal answer

Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$24=\frac{12\times h}{2}$$

The height of the triangle is .

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Question

A triangle has an area of and a base of . Find the height.

Tap to reveal answer

Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$54=\frac{12\times h}{2}$$

The height of the triangle is .

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Question

A triangle has an area of and a base of . Find the height.

Tap to reveal answer

Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$60=\frac{12\times h}{2}$$

The height of the triangle is .

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Question

A triangle has an area of and a base of . In terms of , find the height.

Tap to reveal answer

Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

The height of the triangle is .

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Question

A triangle has an area of and a base of . In terms of , find the height.

Tap to reveal answer

Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

The height of the triangle is .

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Question

A triangle has an area of and a base of . What is the height?

Tap to reveal answer

Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$48a=\frac{6a\times h}{2}$$

$h=\frac{96a}{6a}$=\frac{96}{6}$=16$

The height of the triangle is .

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Question

A triangle has an area of and a base of . Find the height.

Tap to reveal answer

Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$56t=\frac{7t\times h}{2}$$

$h=\frac{112t}{7t}$=\frac{112}{7}$=16$

The height of the triangle is .

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Question

A triangle has an area of and a base of . Find the height.

Tap to reveal answer

Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$121g=\frac{22g\times h}{2}$$

$h=\frac{242g}{22g}$=\frac{242}{22}$=11$

The height of the triangle is .

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Question

A triangle has an area of and a base of . In feet, what is the height?

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Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$64=\frac{32\times h}{2}$$

The height of the triangle is feet.

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Question

The area of a triangle is , and the base of the triangle is . What is the height for this triangle?

Tap to reveal answer

Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$240=\frac{30 \times h}{2}$$

The height of the triangle is .

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Question

A triangle has an area of and a base of . In meters, find the height.

Tap to reveal answer

Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$360=\frac{60\times h}{2}$$

The height of the triangle is meters.

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Question

A triangle has an area of and a base of . Find the height.

Tap to reveal answer

Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$45=\frac{15\times h}{2}$$

The height of the triangle is .

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Question

A triangle has an area of and a base of . Find the height.

Tap to reveal answer

Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$24=\frac{12\times h}{2}$$

The height of the triangle is .

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Question

A triangle has an area of and a base of . Find the height.

Tap to reveal answer

Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$54=\frac{12\times h}{2}$$

The height of the triangle is .

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Question

A triangle has an area of and a base of . Find the height.

Tap to reveal answer

Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

$60=\frac{12\times h}{2}$$

The height of the triangle is .

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Question

A triangle has an area of and a base of . In terms of , find the height.

Tap to reveal answer

Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

The height of the triangle is .

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Question

A triangle has an area of and a base of . In terms of , find the height.

Tap to reveal answer

Answer

Use the formula to find the area of a triangle.

$\text{Area}$=\frac{base\times height}{2}$

Now, plug in the values for the area and the base to solve for height .

The height of the triangle is .

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