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Sagot :
Pythagorean theorem is applied to the right-angled triangle. The length of the two legs of the triangle is 9√2 cm.
What is the Pythagorean theorem?
Pythagorean theorem helps us to find the hypotenuse of a right-angled triangle with the help of the other two sides of the triangle.
Hypotenuse² = Perpendicular² + Base²
Given to us
A right-angle triangle with angles, 45°- 45°- 90°
Length of the hypotenuse of the triangle, h = 18 cm
As in the given triangle, two of the angles are of equal measure, therefore, the triangle's two legs are of equal length, while the length of the hypotenuse is 18 cm.
AB = AC
Using the Pythagorean theorem,
BC² = AB² + AC²
18² = AB² + AB²
18² = 2 AB²
162 = AB²
AB = 9√2
Hence, the length of the two legs of the triangle is 9√2 cm.
Learn more about the Pythagorean theorem:
https://brainly.com/question/9715916
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