Question

Construct a triangle PQR such that PQ = PR = 3 cm and angle P = 120°. Measure angle Q and angle R. Name the the type of triangle.​

Answer 1

Answer:

THE ANSWER IS AS FOLLOWS

Step-by-step explanation:

As given is the PQ=PR,

so the triangle will be Isosceles triangle.

Answer 2

Given: PQ = PR = 3 cm and angle P = 120°.

To draw : A triangle PQR

Steps :

• Draw a line PQ = 3 cm
• with P as a center draw an angle of 120°.
• With P as a center and radius =3 cm , draw an arc and named it as R
• join R to Q
• PQR is a required triangle

then

In triangle PQR

let angle Q=angle R = x

$\angle P + \angle Q + \angle R = 180^\circ$      angle sum property

then

120+x+x=180

2x=180-120

2x=60

x= 30°

hence , The $\angle Q=\angle R =30^\circ$

since 2 sides are equal , Its a Isosceles triangle