There is a right angled triangle whose perimeter is 60 cm and hypotenuse is 26 cm. Find the area of the triangle.
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Answer:
area= 120 sq cm
Step-by-step explanation:
Perpendicular=p
base=b
hypotenuse=h
perimeter= p+b+h
or p+b= perimeter-h
or p+b= 60-26= 34
p^2+ b^2= h^2
area= 1/2 base * height = 1/2 pb
p+b= 34
(p+b)^2= 34^2
p^2 + b^2 + 2pb = 34^2
h^2 + 2pb = 34^2
2pb= 34^2 - 26^2
1/2 pb= 480/4 = 120 (ans)
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