Kuulchat - Senior High School (S.H.S) Mathematics Pythagoras Theorem Practice Test Questions

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PYTHAGORAS THEOREM

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1.

A ladder of length 6.5 m leans against a vertical wall. If the top of the ladder is 3.6 m from the foot of the wall, calculator, correct to two decimal places, the distance from the wall to the foot of the ladder.

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Let x = the distance from the wall to the foot of the ladder.

From Pythagorean theorem,

The hypothenuse (c) is the longest side. The side facing the right-angle (∟)

3.6² + x² = 6.5²

x² = 6.5² - 3.6²

Take square root of both sides.

x = $\sqrt{{6.5}^{2} - {3.6}^{2}}$

x = 5.41202365109 m ≈ 5.41 m (two decimal places)

∴ the distance from the wall to the foot of the ladder is 5.41 m

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PYTHAGORAS THEOREM

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