The variable(s) in each triangle below 9, 12 and 16.
The basic formula to find the area of a triangle is, area of triangle = 1/2 (b × h); where 'b' is the base and 'h' is the height of the triangle.
Let the base of the triangle be 15.
So, the area is:
Area= 1/2*b*h
= 1/2*15*20
= 150.
Let the base of the triangle be 25.
So, the area is:
Area= 1/2*b*h
150= 1/2*25*h
= 300/25
h =12
Now, using Pythagoras Theorem
15²= h²+x²
15²=12²+x²
225-144= x²
x²= 81
x=±9
Now, x+y=25
y=16
Thus , values are 9,12 and 16.
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