Question

What is the value of b in the triangle shown below?

*-4 in
*4 in
*+4 in (under the plus sign is a line)
*no solution

Answer 1

1. C

2. D

3. B

4. B

5. C

Explanation:

Answer 2

Correct answer is B.

The area of the right triangle is
`A= (ab)/(2)`.

In this case we have

`24= (3b * b)/(2) \\24 * 2=3b^2 \\b^2= (24 * 2)/(3) \\b^2=16 \\b=\pm 4`

Since the length of a side cannot be negative, the final result is
`b=4`.