Question

prov the opposite angles sides of issoceles trangle in also equal
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Answer 1

Answer:

yes, prov the opposite angles sides of issoceles triangle in also equal

Answer 2

fig. issoceles trangle

$\mathtt{\huge{\underline{\red{Given:-}}}}$

• Isosceles triangle ABC ,i.e., AB = AC

$\mathtt{\huge{\underline{\green{To\:Find:-}}}}$

• ∠B = ∠C.

$\mathtt{\huge{\underline{\orange{Construction:-}}}}$

• Draw a bisector of ∠A intersecting BC at D.

$\mathtt{\huge{\underline{\purple{Solution:-}}}}$

In, ΔBAD & ΔCAD,

➡ AB = AC (given)

➡ ∠BAD = ∠CAD (by construction)

➡ AD = AD (common)

ΔBAD ≈ ΔCAD (SAS congruency rule)

Thus,

∠ABD = ∠ACD (By CPCT)

=> ∠B = ∠C

Hence, angle opposite to equal side are equal .

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