Question

the area of right angle triangle is 90 cm^2 if the base is three times its altitude find the base

Answer 1

area =1/2 *base*height
90=1/2*3x*x
90*2=3x²
180=3x²
60=x²
√60=x
x=2√15

therefore accordingly we can calculate both
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Answer 2

Area= 90 cm^2
Let height be x.
Then, base will be 3x
Area= 1/2 x b x h
90= 1/2 x 3X x X
90= 3x^2/2
90 x 2 = 3x^2
180 = 3x^2
x^2 = 180/3
x = √60
x = 2√15
that is = 2 x 3.63
x= 7.26
therefore, x= 7.26
base = 3x = 3 x 7.26 = 21.78