Find the sharp corners of a right triangle if one is 50% larger than the other.

From the condition it is known that we are given a right-angled triangle. It is also known that one of the corners is 50% larger than the second.

Let’s start by recalling the triangle sum theorem. It says that the sum of the angles of the triangle is 180 °.

Let’s convert 50% to a decimal and get 0.5.

So, let’s designate for x one of the corners, then we will designate the second as 0.5x.

Let’s compose and solve the equation:

x + 0.5x + 90 = 180;

1.5x = 180 – 90;

1.5x = 90;

x = 60 ° one of the corners and 1.5 * 60 = 30 ° the second acute angle.