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SSAT Upper Level Math : How to find the length of the side of a right triangle

Study concepts, example questions & explanations for SSAT Upper Level Math

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All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side.

Possible Answers:

$\displaystyle 20$

400 $\displaystyle 400$

$\displaystyle 15$

$\displaystyle 12$

Correct answer:

$\displaystyle 20$

Explanation:

Use the Pythagorean Theorem to find the length of the missing side.

$\displaystyle x^2+15^2=25^2$

$\displaystyle x^2+225=625$

x^2=400 $\displaystyle x^2=400$

$x=\sqrt{400}=20$ $\displaystyle x=\sqrt{400}=20$

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Example Question #12 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side.

Possible Answers:

$\displaystyle 32$

$\displaystyle 36$

$\displaystyle 18$

$\displaystyle 34$

Correct answer:

$\displaystyle 36$

Explanation:

Use the Pythagorean Theorem to find the length of the missing side.

$\displaystyle x^2+15^2=39^2$

$\displaystyle x^2+225=1521$

$\displaystyle x^2=1296$

$x=\sqrt{1296}=36$ $\displaystyle x=\sqrt{1296}=36$

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Example Question #13 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side.

Possible Answers:

$\displaystyle 16$

$\displaystyle 17$

225 $\displaystyle 225$

$\displaystyle 15$

Correct answer:

$\displaystyle 15$

Explanation:

Use the Pythagorean Theorem to find the length of the missing side.

$\displaystyle x^2+8^2=17^2$

$\displaystyle x^2+64=289$

x^2=225 $\displaystyle x^2=225$

$x=\sqrt{225}=15$ $\displaystyle x=\sqrt{225}=15$

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Example Question #14 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side.

Possible Answers:

$\displaystyle 27$

$\displaystyle 35$

900 $\displaystyle 900$

$\displaystyle 30$

Correct answer:

$\displaystyle 30$

Explanation:

Use the Pythagorean Theorem to find the length of the missing side.

$\displaystyle x^2+16^2=34^2$

$\displaystyle x^2+256=1156$

x^2=900 $\displaystyle x^2=900$

$x=\sqrt{900}=30$ $\displaystyle x=\sqrt{900}=30$

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Example Question #24 : Right Triangles

Find the length of the missing side.

Possible Answers:

$\displaystyle 16$

196 $\displaystyle 196$

$\displaystyle 15$

$\displaystyle 14$

Correct answer:

$\displaystyle 14$

Explanation:

Use the Pythagorean Theorem to find the length of the missing side.

$\displaystyle x^2+48^2=50^2$

$\displaystyle x^2+2304=2500$

x^2=196 $\displaystyle x^2=196$

$x=\sqrt{196}=14$ $\displaystyle x=\sqrt{196}=14$

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Example Question #15 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side.

Possible Answers:

$\displaystyle 60$

$\displaystyle 56$

$\displaystyle 26$

$\displaystyle 45$

Correct answer:

$\displaystyle 60$

Explanation:

Use the Pythagorean Theorem to find the length of the missing side.

$\displaystyle x^2+11^2=61^2$

$\displaystyle x^2+121=3721$

$\displaystyle x^2=3600$

$x=\sqrt{3600}=60$ $\displaystyle x=\sqrt{3600}=60$

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All SSAT Upper Level Math Resources

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SSAT Upper Level Math : How to find the length of the side of a right triangle

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #11 : How To Find The Length Of The Side Of A Right Triangle

Example Question #12 : How To Find The Length Of The Side Of A Right Triangle

Example Question #13 : How To Find The Length Of The Side Of A Right Triangle

Example Question #14 : How To Find The Length Of The Side Of A Right Triangle

Example Question #24 : Right Triangles

Example Question #15 : How To Find The Length Of The Side Of A Right Triangle

All SSAT Upper Level Math Resources

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