Question

what is the difference between the two sides ​

Answer 1

Explanation:

MATHS

If the difference between the two sides of a right-angled triangle is 2cm and the area of the triangle is 24cm

2

; find the perimeter of the triangle.

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ANSWER

Let one side =a, other side =b

Given, difference between sides, a−b=2

∴b=a−2

Area of triangle =

2

a(a−2)

=24

a

2

−2a=48

a=8,a=−6

c=

8

2

+6

2

=

64+36

=

100

=10

∴c=10

∴ perimeter of triangle =10+8+6=24 cm