Math, asked by lalitakumari1075, 1 month ago

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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Answers

Answered by DorothiOfOz
2

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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