ABC is a right angled triangle in which ∠ A =90° and AB = AC . Find ∠ B and ∠ C .

Question

ABC is a right angled triangle in which &#x2220; A =90&#xB0; and AB = AC . Find &#x2220; B and &#x2220; C .

Philoid · Accepted Answer

Given that ABC is a right angled triangle

Such that,

∠A = 90^o

And,

AB = AC

Since,

AB = AC

is also isosceles triangle

Therefore, we can say that is a right angled isosceles triangle.

∠C = ∠B

And,

∠A = 90^o

Now, we have

Sum of angles in a triangle = 180^o

∠A + ∠B + ∠C = 180^o

90^o + ∠B + ∠B = 180^o (From i)

90^o + 2∠B = 180^o

2∠B = 90^o

∠B = 45^o

Therefore, ∠B = ∠C = 45^o