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Question
Triangle ABC has two legs of lengths 6(AB) and 8(AC). If the degree measure of angle ∠BAC is 90∘, then which of the following is the length of the third side (BC)?
Triangle ABC has two legs of lengths 6(AB) and 8(AC). If the degree measure of angle ∠BAC is 90∘, then which of the following is the length of the third side (BC)?
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Solution
The correct option is C 10
Since triangle ABC is a right triangle, we can use the pythagorean theorem c2=a2+b2 to get the hypotenuse BC.
Consider, AB =a,AC=b,BC=c
As, a=6,b=8
Then, c2=62+82
c2=36+64
c2=100
c=√100
c=10
Hence, choice D is correct.
Since triangle ABC is a right triangle, we can use the pythagorean theorem
c2=a2+b2 to get the hypotenuse BC.
Consider, AB =a,AC=b,BC=c
As, a=6,b=8
Then, c2=62+82
c2=36+64
c2=100
c=√100
c=10
Hence, choice D is correct.
Consider, AB =a,AC=b,BC=c
As, a=6,b=8
Then, c2=62+82
c2=36+64
c2=100
c=√100
c=10
Hence, choice D is correct.
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