What is the value of b in the triangle shown below?
the trianle they show is a right triangle and the length shows 3b...the width just shows b...and the inside says 24 in^2
A.–4 in
B.4 in
C.±4 in
D.no solution
I think i is B..but its a guess..?
Yes it B, 4in
its b
To find the value of b in the given right triangle, we can use the formula for the area of a triangle which is given as:
Area = (base * height) / 2
Given that the length of the triangle is 3b and the width is b, we can substitute these values into the formula to get:
24 in^2 = (3b * b) / 2
To simplify, we can multiply both sides of the equation by 2:
48 in^2 = 3b^2
Next, we can divide both sides of the equation by 3 to isolate b^2:
16 in^2 = b^2
Now, we can take the square root of both sides to solve for b:
±4 in = b
Therefore, the value of b in the triangle can be either positive 4 inches or negative 4 inches. So the correct answer is C.±4 in.