How to factor a common factor out of squares - PSAT Math

We can use Heron's formula to find the area of the triangle. We can let a = 6, b = 10, and c = 12.

In order to find s, we need to find one half of the perimeter. The perimeter is the sum of the lengths of the sides of the triangle.

Perimeter = a + b + c = 6 + 10 + 12 = 28

In order to find s, we must multiply the perimeter by one-half, which would give us (1/2)(28), or 14.

Now that we have a, b, c, and s, we can calculate the area using Heron's formula.

Use the distributive property for radicals.

Multiply all terms by .

Combine terms under radicals.

Look for perfect square factors under each radical. has a perfect square of . The can be factored out.

Since both radicals are the same, we can add them.

Look for perfect cubes within each term. This will allow us to factor out of the radical.

Simplify.

x2 = 36 -> it is important to remember that this leads to two answers.

x = 6 or x = -6.

If x = 6: A = B.

If x = -6: A < B.

Thus the relationship cannot be determined from the information given.

We can use Heron's formula to find the area of the triangle. We can let a = 6, b = 10, and c = 12.

In order to find s, we need to find one half of the perimeter. The perimeter is the sum of the lengths of the sides of the triangle.

Perimeter = a + b + c = 6 + 10 + 12 = 28

In order to find s, we must multiply the perimeter by one-half, which would give us (1/2)(28), or 14.

Now that we have a, b, c, and s, we can calculate the area using Heron's formula.

Use the distributive property for radicals.

Multiply all terms by .

Combine terms under radicals.

Look for perfect square factors under each radical. has a perfect square of . The can be factored out.

Since both radicals are the same, we can add them.

Look for perfect cubes within each term. This will allow us to factor out of the radical.

Simplify.

x2 = 36 -> it is important to remember that this leads to two answers.

x = 6 or x = -6.

If x = 6: A = B.

If x = -6: A < B.

Thus the relationship cannot be determined from the information given.

We can use Heron's formula to find the area of the triangle. We can let a = 6, b = 10, and c = 12.

In order to find s, we need to find one half of the perimeter. The perimeter is the sum of the lengths of the sides of the triangle.

Perimeter = a + b + c = 6 + 10 + 12 = 28

In order to find s, we must multiply the perimeter by one-half, which would give us (1/2)(28), or 14.

Now that we have a, b, c, and s, we can calculate the area using Heron's formula.

Use the distributive property for radicals.

Multiply all terms by .

Combine terms under radicals.

Look for perfect square factors under each radical. has a perfect square of . The can be factored out.

Since both radicals are the same, we can add them.

Look for perfect cubes within each term. This will allow us to factor out of the radical.

Simplify.

x2 = 36 -> it is important to remember that this leads to two answers.

x = 6 or x = -6.

If x = 6: A = B.

If x = -6: A < B.

Thus the relationship cannot be determined from the information given.

We can use Heron's formula to find the area of the triangle. We can let a = 6, b = 10, and c = 12.

In order to find s, we need to find one half of the perimeter. The perimeter is the sum of the lengths of the sides of the triangle.

Perimeter = a + b + c = 6 + 10 + 12 = 28

In order to find s, we must multiply the perimeter by one-half, which would give us (1/2)(28), or 14.

Now that we have a, b, c, and s, we can calculate the area using Heron's formula.

Use the distributive property for radicals.

Multiply all terms by .

Combine terms under radicals.

Look for perfect square factors under each radical. has a perfect square of . The can be factored out.

Since both radicals are the same, we can add them.

Look for perfect cubes within each term. This will allow us to factor out of the radical.

Simplify.

x2 = 36 -> it is important to remember that this leads to two answers.

x = 6 or x = -6.

If x = 6: A = B.

If x = -6: A < B.

Thus the relationship cannot be determined from the information given.

We can use Heron's formula to find the area of the triangle. We can let a = 6, b = 10, and c = 12.

In order to find s, we need to find one half of the perimeter. The perimeter is the sum of the lengths of the sides of the triangle.

Perimeter = a + b + c = 6 + 10 + 12 = 28

In order to find s, we must multiply the perimeter by one-half, which would give us (1/2)(28), or 14.

Now that we have a, b, c, and s, we can calculate the area using Heron's formula.

Use the distributive property for radicals.

Multiply all terms by .

Combine terms under radicals.

Look for perfect square factors under each radical. has a perfect square of . The can be factored out.

Since both radicals are the same, we can add them.

Look for perfect cubes within each term. This will allow us to factor out of the radical.

Simplify.