Question

The area of a right angled triangle is 15 times the
numerical value of the shortest side. The perimeter
of the triangle is five times the length of the
shortest side. Find the lengths of the three sides
of the triangle.​

Answer 1

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Answer 2

Answer:

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l=30units b=16units h=34units

Step-by-step explanation:

let l>b with h as hypotenuse in given right angled triangle

l^2+b^2=h^2 (property) (A)

area=1/2× l×b

perimeter= l+b+h

given: 1/2 l×b= 15b

l=30

again as per question,

l+b+h=5b

h=4b-l=4b-30

now using property (A)

30^2+b^2=(4b-30)^2

900+b^2=16b^2+900-240b

15b^2-240b= 0

15b(b-16)=0

b is not equal to 0 hence it is 16

h=4×16-30=34