Question

To the nearest tenth, what is the length of the hypotenuse of an isosceles right triangle with a leg of 7 3 inches?

A) 15.7inches
B) 16.2 inches
C) 17.1 inches
D) 18.5 inches

Answer 1

Answer:

the answer is the option C

$17.1\ in$

Step-by-step explanation:

we know that

An isosceles right triangle has two equal legs

Let

x------> the length side of the hypotenuse

y-----> the length side of the leg

Applying the Pythagoras theorem

$x^{2} =y^{2}+y^{2}$

$x^{2} =2y^{2}$

In this problem we have

$y=7\sqrt{3}\ in$

Substitute and solve for x

$x^{2} =2(7\sqrt{3})^{2}$

$x=17.1\ in$