Question

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

 

Answer 1

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°