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

the answer is the option C

`17.1\ in`

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√(3)\ in`

Substitute and solve for x

`x^(2) =2(7√(3))^(2)`

`x=17.1\ in`