Question

construct a triangle pqr with angle p =60 degree and q = 30 degree and pq = 4.8 cm . measure angle r .what kind of triangle is this ?​

Answer 1

The angle is 90° and it is a right angled triangle

Construction steps:

1. Draw a line segment pq of 4.8 cm
2. Measure 60° on a compass and cut an arc by putting on point p
3. Measure 30° on a compass and cut an arc by putting on point q

Now, as we know the the sum of all the internal angles of a triangle is 180°.

Hence,

60 + 30 + x = 180    (where x is the angle of r)

90 + x = 180

x = 90°

Also, the triangle which is having an angle 90° is a right angled triangle.