An isosceles right triangle has legs of equal length. If the hypotenuse is 22 inches long, find the length of each leg. Please help me on this problem so bad!!! I NEED AN ANSWER TO THIS PROBLEM IMMEDIATELY!!!! :(

3 answers

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In a right triangle, square on the hypotenuse is equal to sum of the squares on the other two sides.

Here, other two sides as it is an isosceles right triangle.

Let these sides be each x inches.

x² + x² = 22²

2 x² = 484

Divide both sides by 2

x² = 242

x² = 121 ∙ 2

x = √ 121 ∙ √2

x = 11 √2 in
In a right triangle, square on the hypotenuse is equal to sum of the squares on the other two sides.

Here, other two sides as it is an isosceles right triangle.

Let these sides be each x inches.

x² + x² = 22²

2 x² = 484

Divide both sides by 2

x² = 242

x² = 121 ∙ 2

x = √ 121 ∙ √2

x = 11 √2 in

same