Question

The triangle shown must be a right triangle if x= in

A) 8
B) 12
C) 16
D) 144

Answer 1

Here is how you do it!

a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169
b^2 = 144
b = 12

The square root of 144 is 12, so your answer is B) 12

Hope this helps!

Answer 2

The value of x is 12 in

Explanation:

Given the right angled triangle having sides 5 in , 13 in and x in

We have to find the value of x.

By applying Pythagoras theorem, we get

`Hypotenuse^(2) = Base^(2) + Perpendicular^(2)`

⇒
`13^(2)=x^(2)+5^(2)`

⇒
`169=25+x^(2)`

⇒
`x^(2) = 144` ⇒ x=12 in

Hence, length of base is x in i.e 12 in