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
