1. If triangle ABC is a right triangle such that angle C=90^ , angle A=45^ and BC = 7 unit
Find angle B, AB and AC.
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1. If triangle ABC is a right triangle such that angle C=90^ , angle A=45^ and BC = 7 unit
Find angle B, AB and AC.
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Answer:
△ABC is rightangled at C
∠C=90
∘
,∠A=45
∘
We know that,
In triangle ABC, ∠A+∠B+∠C=180
∘
45
∘
+∠B+90
∘
=180
∘
∠B=45
∘
It's a scalene triangle.
∴BC=AC=7units
From Pythagoras theorem,
AB
2
=AC
2
+BC
2
AB
2
=7
2
+7
2
=98
AB=7
2
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