Question

name the types of following triangles
(1) ∆PQR with M angle Q= 90°,M angle P=45° , M angle R=45°
​

Answer 1

Ans = Right angle triangle

Answer 2

Given:

∆PQR with M angle Q= 90°, M angle P=45°, M angle R=45°

​To find:

the type of the triangle

Solution:

We have given to identify the triangle

so, first of all, we must know about the type of triangle

Equilateral triangle:

The triangle having equal sides and equal angles then the triangle is said to be the equilateral triangle.

Isosceles triangle:

The triangle has two equal sides and equal angles are said to be the isosceles triangle.

Scalene Triangle:

The triangles having distinct sides and angles are called the scalene triangle.

Right angle Triangle:

If anyone angle of the triangle is 90°, then the triangle is said to be the right-angled triangle.

we have given the parameter as

∆PQR with M angle Q= 90°, M angle P=45°, M angle R=45°

In which one of the angles is 90° and two angles are equal to each other,

so this is following the property of the right-angled triangle and the isosceles triangle

So this is the isosceles right-angled triangle.