Question

In the given right triangle, find the missing length to the nearest tenth.

Answer 1

Using pythagoras

11^2+17^2 = answer^2

answer = sqrt(410)

answer= 20.248

so the answer is A

Answer 2

Answer-

The missing length to the nearest tenth is 20.2 ft.

Solution-

As given in the question, that the given triangle is a right angle triangle.

Pythagoras Theorem-

$\Rightarrow \text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2$

Here,

Hypotenuse = x ft

Base = 17 ft

Perpendicular = 11 ft

Putting the values,

$\Rightarrow x^2=17^2+11^2$

$\Rightarrow x^2=289+121$

$\Rightarrow x^2=410$

$\Rightarrow x=\sqrt{410}$

$\Rightarrow x=20.2\ ft$

Therefore, the missing length to the nearest tenth is 20.2 ft.