Question

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

(1 point)
3b
24 in.?
b
0-4 in
04 in
0 =4 in
O no solution

Answer 1

4 inches

Explanation:

`24 = (1)/(2) (b)(3b) \\ \\ \implies \: 24(2) = 3 {b}^(2) \\ \\ \implies \: 48 = 3 {b}^(2) \\ \\ \implies \: (48)/(3) = {b}^(2) \\ \\ \implies \: {b}^(2) = 16 \\ \\ \implies \: {b} = \pm√(16) \\ \\ \implies \: {b} = \pm \: 4 \\ \because \: b \: is \: side \: length \\ so \: its \: value \: cant \: be \: negative. \\ \implies \: b = 4 \: in`