# Find the length of the leg of an isosceles right-angled triangle if its area is 72cm²

September 29, 2021 | education

| As we know from the school geometry curriculum, the area of such a figure will represent half the product of its legs.

Let us express the length of the leg of our right-angled triangle, for which we take the variable a.

Then, according to the fact that it is isosceles, its area can be expressed as a ^ 2/2.

Since we know that it is equal to 72 cm2, then it is possible to write down the equation and find out the length of the leg:

a ^ 2/2 = 72;

a ^ 2 = 144;

a1 = 12;

a2 = -12 (not suitable).

Answer: The length of the leg is 12 cm.

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