Question

Find the area of a right triangle whose base is 1.2 metre and the hypotenuse is 3.7 metre.

Answer 1

We need to find the height of this triangle at first...
So, we use the Pythagoras Theorem
Hypotenuse^2 = Base^2 + Height^2
(3.7)^2 = (1.2)^2 + Height^2
13.69 = 1.44 + heigh^2
height^2 = 13.69 - 1.44
height = √12.25 = 3.5m
Now we can find the area of this Right Angled Triangle = 1/2*h×b
1/2*3.5×1.2 = 4.2/2 = 2.1
So, Area of this Right Angled Triangle = 2.1m^2