Question

A certain right-angled triangle has its area numerically equal to its perimeter. The
length of each side is an even integer, what is the perimeter?

Answer 1

Step-by-step explanation:

The perimeter of the triangle is 24 cm. Step-by-step explanation: Given : A right angled triangle has its area numerically equal to its perimeter the length of each side is an even number and the hypotenuse is 10 cm

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Answer 2

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Answer:

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Step-by-step explanation:

Given that, the measure of each side of the right triangle is an even integer unit.

Also, its perimeter and area are numerically equal.

Let us start from even integers: 2,4,6,8,10,12,14,etc. 

Out of them, only (6,8,10)  make  Pythagorean triplet

∵82+62=102 

Also, 8+6+10=24(Perimeter) 

And, 21×8×6=24(Area) 

∴ This group of even integers comply with all the given conditions.

∴ Perimeter =24 units

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