Question

A triangle has two sides measuring 16 and 21. The included angle is 116°. What is the length of the side opposite the 116° angle?

Answer 1

Answer:

$h =26.4$

C is correct Option

Step-by-step explanation:

Let,

Base of the triangle = b = 16  

Perpendicular of the triangle = p = 21

Hypotenuse of the triangle= h = ?

According to Pythagoras theorem;

 $h^{2} = b^{2} +p^{2}$

 $h^{2} = 21^{2} +16^{2}$

 $h^{2} =441+256$

 $h^{2} =697$

 $h =\sqrt{697}$

$h =26.4$