The hypotenuse of a right triangle is 18 meters. If one side is 4 meters
longer than the other side, what is the length of the shorter side?
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The hypotenuse of a right triangle is 18 meters. If one side is 4 meters
longer than the other side, what is the length of the shorter side?
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
Let the shorter side be x.
Then other side = x+4
Using Pythagoras Theorem
x² + (x+4)² = 18²
=> x² + x² + 16 + 8x - 324 = 0
=> 2x² + 8x - 308 = 0
=> x² + 4x - 154 = 0
Using quadratic formula,
x = [-4 +- √(4²+4×154)] / 2
= (-4 +-√632)/2 = -2+-√(158)
But,
- 2 - √(158) will be negative and side can't be negative.
Therefore,
√(158) - 2 ~ 10.56 is the shorter side.