Question

Find the length of h

Answer 1

Answer:

h = 8.78

Step-by-step explanation:

Remark

Since this is a right angle triangle, you could find the area 2 different ways.

Area 1. Use the arms  of the right angle to find the area.

Area = 1/2 * a * b

a = 9

b = 40

Area = 1/2 40 * 9

Area = 180 m^2

The other way is to multiply the height by the hypotenuse

h = ?

hypotenuse = 41

Area = 1/2 * 41 * h

But we already know the area

1/2 41 * h = 180                Multiply by 2

41 * h = 2 * 180

41 * h = 360                    Divide by 41

h = 360 / 41

h = 8.78