Question

Classify the following triangle . check all that apply

Answer 1

One of the angles is more than 90 degrees ⇒ Obtuse

Two equal sides ⇒ Isosceles

Answer 2

Option (a) and (d) is correct.

The given triangle is obtuse and isosceles.

Explanation:

Given : A triangle with measure of one angle is 120° and two legs of the triangle are given equal in length.

We will have to choose the correct classification for the given triangle.

For a triangle if the measure of one the angles is

1) less than 90 then it is acute triangle ,

2) equal to 90 then right triangle

3) greater to 90 then obtuse triangle

Since the measure of one angle of the triangle is 120° > 90° Thus, the given triangle is obtuse.

For a triangle if all the three sides are equal then it is equilateral triangle, if two sides are equal then it is isosceles and if no side is equal then it is scalene.

Since, for the given triangle, the two legs of the triangle are given equal in length so it is an isosceles triangle.

Thus, the given triangle is obtuse and isosceles.