Question

in right angle triangle abc angle C is equal to 90 degree angle A is equal to 30 degree and AB is equal to 10 cm then find the value of AC?
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Answer 1

Step-by-step explanation:

Since AB=AC, 

So, △ABC is Right-angled isosceles.

∠B=∠C             ...(angles opp. to equal sides are equal)

∠A+∠B+∠C=180∘       ...(angle - sum property of a triangle)

Substituting ∠B=∠C, ∠A=90o

90∘+2∠B=180∘ 

2∠B=180∘–90∘=90∘

⇒∠B=45∘

So, ∠C=∠B=45o.