Question

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

A. 20.2 ft
B. 7.5 ft
C. 11.7 ft
D. 17.3 ft

Answer 1

using pythagoras

11^2+17^2 = answer^2

answer = sqrt(410)

answer= 20.248

so the answer is A

Answer 2

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=√(410)`

`\Rightarrow x=20.2\ ft`

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