Question

The area of a right angled triangle is 54 m square. If one of the legs is 12 m, find the length of the other leg.

Answer 1

The formula for the area of a triangle is 1/2bh. In a right triangle, one of the legs is equal to the base, and the other leg is equal to the height.

Therefore, we can set the formula equal to 54.

54=1/2bh

We can also substitute the length of the given leg in for the base measurement.

54=1/2*12h

Now, we solve for h.

108=12h
9=h

As we can see, the length of the other leg of the triangle is 9 m.

Answer 2

area= 54m2

length of one leg = 12m
other leg=x

54m2= 1/2 × 12 × x
54×2/12=x

9m = x -------- answer