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

Answer:

The value of x is 12 in

Step-by-step 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