Question

A certain triangle has two 45 angles. What type of triangle is it?

A. Acute scalene
B. Right scalene
c. Right isosceles
D. Acute isosceles

Answer 1

The answer is C right isosceles

Answer 2

C. Right isosceles

Explanation:

In Acute scalene triangle, all angles are acute ( less than 90 degrees ) and different,

In Right scalene triangle, two angles are acute and different, while, the third angle is of 90°.

In Right isosceles triangle, two angles are acute and equal, while, the third angle is of 90°.

In Acute isosceles, all angles are acute in which any two angles are equal.

Now, given,

The two angle of the triangles are 45° and 45°,

Let x be the third angle,

⇒ x + 45° + 45° = 180°

⇒ x + 90° = 180°

⇒ x = 90°

Hence, the angles of given triangle are 45°, 45° and 90°,

By the above definitions,

It is clear that, given triangle is right isosceles.

Option C is correct.