Question

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

Answer 1

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

Answer 2

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