What is the length of the base of a right triangle with an area of 24 m² and a height of 4 m?

A 3 m

B 6 m

C 12 m

D 96 m

Area of a triangle is A=1/2*base*height

Now you can do this in two ways:

1) A=1/2*base*height

24=1/2*b*4

24 = 2*b (take half of 4)

24/2=2/2*b

12=b

Therefore the base of the triangle is is 12 metres

Isolate b (base)

2) A=1/2*b*h

A (2) = 1/2 (2) * b*h

2A=2/2*b*h

2A=1*b*h

2A/h = b*h/h

2A/h=b

So substitute the numbers in and solve:

2A/h=b

2 (24) / 4=b

48/4=b

12=b

Thus the base of the triangle is 12m

So the answer choice C is right

Area of a triangle = 1/2 b * h.

Using this formula, we can find the one we need.

Plug the numbers we have into the formula, and we get:

24 = 1/2 b * 4

6 = 1/2 b

12 = b

The base is 12 meters.

c) 12 m