Given:
Area of the isosceles right-angle triangle = 81 cm²
Formula Used:
For an isosceles right-angle triangle, if a is the length of the equal sides, then:
Area = (1/2) * a²
The hypotenuse of the triangle is given by the Pythagorean theorem:
Hypotenuse = a√2
Solution:
Area of triangle
(1/2) * a² = 81
a² = 162
a = √162 = 9√2 cm
Now, using the Pythagorean theorem to find the hypotenuse:
Hypotenuse = a√2 = 9√2 * √2 = 9 * 2 = 18 cm
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