# ABC is a Right-angled Triangle in Which a = 900 and AB = AC. Find B and C

By BYJU'S Exam Prep

Updated on: September 25th, 2023

ABC is a right-angled triangle in which A = 900 and AB = AC. The value of B and C is 450

We have to find the value of required angles

Given that ∠A = 900 and AB = AC

So ABC is a right-angled isosceles triangle.

Thus, ∠B = ∠C

From Angle sum property of a triangle, we have;

∠A + ∠B + ∠C = 1800

Substituting the values we get

90 + ∠B + ∠B = 180

2∠B = 180 – 90

On simplifying we get

2∠B = 90

∠B = 450

∠C = 450

### Types of Triangle

Triangles are divided into three groups according to the side lengths:

1. Scalene Triangle
2. Isosceles Triangle
3. Equilateral Triangle

Triangles are divided into three groups based on how the angles are measured:

1. Acute Angle Triangle
2. Right Angle Triangle
3. Obtuse Angle Triangle

### Properties of Triangle

1. Three sides and three angles make up a triangle.
2. A triangle’s total angles are always 180 degrees.
3. A triangle’s outside angles are always a sum of 360 degrees.
4. The total of the parallel interior and exterior angles is additional.
5. Any two sides of a triangle can be added together to have a length larger than the third side. Similar to this, any two triangle sides have length differences between them that are smaller than the length of the third side.
6. Always, the shortest side faces the smallest interior angle. Similar to this, the biggest interior angle is always opposite the longest side.

Summary:-

## ABC is a Right-angled Triangle in Which a = 900 and AB = AC. Find B and C

ABC is a right-angled triangle in which A = 900 and AB = AC. The value of B and C is 450. A right-angled triangle is a triangle with one of its interior angles as 90 degrees or any one angle is a right angle.

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