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in Perimeter and Area of Plane Figures by (30.3k points)
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The length of the two sides of a right triangle containing the right angle differ by 2 cm. If the area of the triangle is 24 cm2 , find the perimeter of the triangle.

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Best answer

Given:

Area of triangle = 24 cm2

Let the sides be a and b, where a is the height and b is the base of triangle

a - b = 2 cm

a = 2 + b    .........(1)

Side of a triangle cannot e negative.

Therefore, b = 6 cm.

Substituting the value of b=6 cm in equation (1), we get:

a = 2 + 6 = 8 cm

Now, a = 8 cm, b = 6 cm

In the given right triangle we have to find third side. Using the relation

So, the third side is 10 cm

So, perimeter of the triangle = a + b + c

= 8 + 6 + 10

= 24 cm

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