Question

In a right triangle, the hypotenuse is 2 times as long as its one side. One of the acute angles is: WITH PROPER EXPLANATION!!

Answer 1

Given:

The hypotenuse is 2 times as long as its one side.

To find:

One of the acute angle.

Solution:

Let the one side of the triangle is x

so the hypotenuse of the triangle must be 2x

So we get the third side of the triangle by the Pythagoras theorem

• P²+B² = H²
• x²+B² = (2x)²
• B² = 4x²-x²
• B² = 3x²
• B = √3x

We have the ratio of the sides are1:√3:2

Where the angles according to the opposite to the ratios are given as:

30° : 60° : 90

So the acute angles are 30° and 60°