Geometry Theorems and Triangle Measurements Quiz

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12 Questions

Which theorem will you use to find the diagonal of a 10 cm by 8 cm rectangle?

Pythagorean Theorem

If the hypotenuse of a 30°-60°-90° triangle measures 8 cm, what is the length of the longer leg?

4√3

In a 30°-60°-90° triangle, if the longer leg measures 24 cm, what is the length of the shorter leg?

4√3

What is the perimeter of a 30°-60°-90° triangle whose hypotenuse is 10 cm long?

15√3 cm

In a 45°-45°-90° triangle, the hypotenuse is how many times as long as any of its legs?

√2

If the leg of a 45°-45°-90° triangle is 16 cm, what is the length of the hypotenuse?

16√2

How many right triangles are in the figure?

One

Which is not an altitude?

CB

What is the length of AD if BD=6 cm and CD=4 cm?

$2\sqrt{10}$

Find the measure of AC if BD=6 cm and CD=4 cm.

$2\sqrt{5}$

What is the length of BC if AD=12 and CD=4?

28

If k=4 and j=7, what is the length of m?

$\sqrt{33}$

Test your knowledge of geometry theorems and triangle measurements with this quiz. Find the diagonal of a rectangle, determine lengths of sides in right triangles, and more.

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