Question

If the sides of a triangle are root2 root6 root8 then the angles of the triangle are

Answer 1

Answer:

30°, 60°, 90°

Step-by-step explanation:

We have sides= √2, √6, √8.

(√2)²+(√6)²=2+6=8= (√8)²

Thus, it is safe to say, the triangle is right angled. Also, being the longest side, √8 will be the hypotenuse.

Let's start with sine. For simplicity, side=√2 is taken.

sin x= √2/√8= √(2/8)= √(1/4)=1/2

Sin 30°= 1/2.

Thus, one angle is 30°, and we already have a 90°. Naturally, the remaining angle= 180-(30+90)= 60°