Draw a triangle of circumradius 3 centimetres and two of the angles and .

Question

Philoid · Accepted Answer

We have to construct a triangle with ∠A = 32.5° ,

∠B = 37.5°

And, we know in a triangle, the sum of all angles is 180° .

Hence, the ∠C = 180 – 32.5 – 37.5

∴ ∠C = 110 degrees.

The circumradius = 3 cm.

Let’s say a = 3 cm, this is side BC.

1) First draw a line CD. At C and with a protractor make an angle of 110° , as shown,

2) With C as the centre and a radius of 3 cm cut the line CE. This point will be B.

3) At B, and with a protractor, make an angle of 75° with BC, as shown below:

Now, bisect the ∠CBR to get ∠CBN = 37/5°

4) The other angles can be measured with the help of the protactor.

This will be the required triangle.