Question

If the angles of a triangle are in the ratio 1:2:1, find all the angles.

Answer 1

90 degrees

90 degrees 45 degrees

90 degrees 45 degrees 45 degrees

Explanation:

1+2+1 = 4

Now pretend they were 1x + 2x + 1x to get 4x & solve for x (since angles in a triangle adds to 180.)

4x = 180

÷4

x =45

(1x is the same as x, so 1 part of the ratio is worth 45 degrees)

2x is:

45 x 2 = 90

So, 45 + 45 + 90 gives 180.

Thus, the angles are:

90 degrees

45 degrees

45 degrees

Creating a right angle triangle.

Hope this helps!