Similar Triangles & SOHCAHTOA Quiz with Explanations

Question 1

In a right triangle, relative to angle $	heta$, which ratio equals $\sin	heta$?

Accepted Answer

$\frac{	ext{opposite}}{	ext{hypotenuse}}$

Answer

$\frac{	ext{opposite}}{	ext{adjacent}}$

Answer

$\frac{	ext{adjacent}}{	ext{hypotenuse}}$

Answer

$\frac{	ext{hypotenuse}}{	ext{opposite}}$

Question 2

Two right triangles are similar. In the smaller triangle, the hypotenuse is $10$ and the side opposite angle $	heta$ is $6$. In the larger triangle, the hypotenuse is $25$. What is the side opposite $	heta$ in the larger triangle?

Accepted Answer

$15$

Answer

$21$

Answer

$6.7$

Answer

$9$

Question 3

Two right triangles share an acute angle $	heta$ and are therefore similar. In Triangle 1, the side opposite $	heta$ is $9$ and the hypotenuse is $15$. In Triangle 2, the hypotenuse is $25$. What is the side adjacent to $	heta$ in Triangle 2?

Accepted Answer

$20$

Answer

$16$

Answer

$24$

Answer

$15$

Similar Triangles & SOHCAHTOA Quiz with Explanations

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