Mathematics

Mathematics

Problem

The hypotenuse of a right triangle is 17 cm. One of the perpendicular sides is 7 cm longer than the other. Determine the lengths of both perpendicular sides.
Intuitive explanation

This is a Pythagorean theorem problem where you need to set up an equation using the constraint that one leg is longer than the other. Call the shorter leg xx; then the longer leg is x+7x + 7. Since x2+(x+7)2=172x^2 + (x+7)^2 = 17^2, you'll expand and solve a quadratic equation to find xx, which unlocks both side lengths.

Intuitive explanation

This is a Pythagorean theorem problem where you need to set up an equation using the constraint that one leg is longer than the other. Call the shorter leg xx; then the longer leg is x+7x + 7. Since x2+(x+7)2=172x^2 + (x+7)^2 = 17^2, you'll expand and solve a quadratic equation to find xx, which unlocks both side lengths.

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