Question

ABC is a right angled triangle in which LA = 90° and AB - AC. Find B and C.
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Answer 1

GIVEN:

In ΔABC,

∠A=90°,

AB=AC.

TO FIND:

∠B and ∠C

SOLUTION:

ΔABC is an isosceles triangle as AB=AC,

So ∠B=∠C     (Moreover, angles opposite to equal sides are also equal)

In  ΔABC,

Sum of all angles=180°

∠A+∠B+∠C=180°

90°+∠B+∠B=180°       (∵∠B=∠C )

2∠B=180°-90°

∠B=90°/2

⇒∴∠B=45°=∠C

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Answer 2

$\huge \sf \color{Blue}\underline{\underline{Question}}$

ABC is right angled triangle in which ∠A=90 , AB=AC find ∠B and ∠C .

$\huge \sf \color{Blue}\underline{\underline{Answer :}}$

∠B =∠C = 45°

$\huge \sf \color{Blue}\underline{\underline{Solution :}}$

$\large \sf \color{Green}\underline{\underline{Given:}}$

∠A= 90°

AC=AB

Hence, ∠B =∠C ( Opposite side are equal)

we know that ,

$\sf \color{red} \sf{\boxed{Sum\ of \ 3\ sides \ of \triangle =180°}}$

∠A+∠B+∠C =180°

∠B =∠C ( Opposite side are equal)(AC=AB)

➩∠A+∠B+∠B =180° (∠B =∠C )

➩90° + 2∠B =180°

➩2∠B= 90°

➩∠B = 45°

∠C = 45° ( ∠B =∠C )