Question

Angles of a right triangle are in an arithmetic sequence. What is it's middle term? Write the angles of this triangle.

Answer 1

Answer:

The middle term of the AP is 60°

The angles of the triangle are 90° , 60° and 30

Given

• Angles of a right triangle are in arithmetic sequence.

To find

• The middle term of the sequence

• The angles of the triangle

Solution

Let us consider the angles of the triangle be a - d , a , a + d (since they are in AP)

Thus , from the properties of triangle we have ,