Advertisement Remove all ads

Advertisement Remove all ads

Advertisement Remove all ads

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

Advertisement Remove all ads

#### Solution

Given that ABC is a right angled triangle such that ∠A = 90° and AB = AC Since,

AB = AC ⇒ ΔABC is also isosceles

∴ We can say that ΔABC is right angled isosceles triangle

⇒ ∠C=∠B and ∠A=90° ................(1)

Now, we have

Sum of angled in a triangle =180°

⇒ ∠A+∠B+∠C=180°

⇒ 90°+∠B+∠B=180° [∵ From (1)]

⇒ 2∠B=180°-90°

⇒`∠B=(90°)/2=45°`

∴ ∠B=∠C=45°

Concept: Properties of a Triangle

Is there an error in this question or solution?