Question

A)Triangle A has three angles in the ratio x - 10: 2x: 2x + 10.

Calculate the size of each angle.
(b) What type of triangle is triangle A?

Answer 1

A)

To calculate the size of each angle in triangle A, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

So we can set up the equation:

x - 10 + 2x + 2x + 10 = 180

Then we can solve for x:

x = 50

Therefore, the size of the angles in triangle A are:

x - 10 = 40

2x = 100

2x + 10 = 110

(b)

Since all angles in triangle A are greater than 0 and less than 180, and the sum of the angles is 180, it is a triangle.

Furthermore, given the ratios of the angles, it is clear that the triangle is an acute triangle.

Therefore, triangle A is an acute triangle.

Explanation: