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What is the length of BC in the right triangle below? Choices in pic.

What is the length of BC in the right triangle below? Choices in pic.-example-1

2 Answers

4 votes
The answer is 15, 9^2 =81 12^2=144 144+81=225 and the square root of 225 is 15
User JDT
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2 votes

Answer: B. 15

Explanation:

In the given picture, we have a right triangle having two sides other than hypotenuse (Side opposite to right angle).

The Pythagoras theorem of right triangle says that the square of longest sides is equal to the sum of the square of the other two sides.

For the given right triangle , we have


BC^2=AB^2+AC^2\\\\\Rightarrow BC^2=9^2+12^2\\\\\Rightarrow\ BC^2=81+144\\\\\Rightarrow\ BC^2=225\\\\\Rightarrow\ BC=√(225)=15

Hence, the length of BC =15 units

User Abidmix
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