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Relationship between Unequal Sides of Triangle and the Angles Opposite to It.

Question 7 AB...

Question

Question 7
ABC is a right angled triangle in which $∠ A = 90^{\circ} a n d A B = A C . F i n d ∠ B a n d ∠ C .$

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Solution

$I t i s g i v e n t h a t A B = A C \Rightarrow ∠ C = ∠ B (A n g l e s o p p o s i t e t o s i d e s a r e a l s o e q u a l) I n Δ A B C, ∠ A + ∠ B + ∠ C = 180^{\circ} (A n g l e s u m p r o p e r t y o f a t r i a n g l e) \Rightarrow 90^{\circ} + ∠ B + ∠ C = 180^{\circ} \Rightarrow 90^{\circ} + ∠ B + ∠ B = 180^{\circ} \Rightarrow 2 ∠ B = 90^{\circ} \Rightarrow ∠ B = 45^{\circ} ∴ ∠ B = ∠ C = 45^{\circ}$

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ABC is a right-angled triangle in which $∠ A = 90^{\circ} a n d A B = A C . F i n d ∠ B a n d ∠ C .$

Q. Question 7
ABC is a right angled triangle in which

∠ A = 90^{\circ} a n d A B = A C . F i n d ∠ B a n d ∠ C .

A B C

is a right angled triangle in which

∠ A = 90^{\circ}

A B = A C

∠ B

∠ C

Q. ABC is a right angled triangle in which ∠A = 90° and AB = AC, Show that ∠B = ∠C.

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Relationship between Unequal Sides of Triangle and the Angles Opposite to It.

Standard IX Mathematics

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