Question

Construct triangle PQR with perimeter 9.5cm and each of base angle is 80. Write the A type of triangle PQR​

Answer 1

Step-by-step explanation:

The type of ΔPQR is an acute isosceles triangle.

An acute isosceles triangle has -

At least two angles measuring angles < 90°

Two of the sides of the triangles are the same.

Here, the two base angles of ΔPQR are 80° each, so it is an acute triangle.

The other angle of this triangle is = {180-(80+80}°

                                                       = 20°

We know, if the two angles of a triangle are the same, their opposite arms will also have the same length.

So, it is an isosceles triangle.

Steps To Draw Construction:-

1. Draw A line segment of 9.5 cm.
2. At  Q draw an angle of 20$degree$
3. Then, at  R draw an angle of 80$degree$
4. The join Q and R and name the point P.

The required triangle is triangle PQR

Thank-you !!

Answer 2

Answer:

∆PQR is an accute isosceles triangle

It has-

1. Atleast two angles measuring angles<90°

2. Two of the sides of the triangle are same

Here, two base angles of∆PQR=80° each, so it is acute triangle

The other angle of the triangle is={180-(80+80)°}=20°

We know if the two angles of the triangle are same, their opposite arms will also have same length.

So, it is isosceles triangle