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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:
- Scalene Triangle
- Isosceles Triangle
- Equilateral Triangle
Triangles are divided into three groups based on how the angles are measured:
- Acute Angle Triangle
- Right Angle Triangle
- Obtuse Angle Triangle
Properties of Triangle
- Three sides and three angles make up a triangle.
- A triangle’s total angles are always 180 degrees.
- A triangle’s outside angles are always a sum of 360 degrees.
- The total of the parallel interior and exterior angles is additional.
- 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.
- 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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