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The hypotenuse and base of right triangle are 20cm and 16cm. What should be subtracted from the length of the height to get the least natural number? |
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Answer» Given : The hypotenuse and base of right TRIANGLE are 20cm and 16cm. To Find : What should be subtracted from the length of the height to get the least natural NUMBER Solution: Apply Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is EQUAL to the sum of the squares of the other two perpendicular sides. Height² = hypotenuse² - base² => Height² = 20² - 16² => Height² = (20 + 16)(20 - 16) => Height² = (36)(4) => Height² = ( 6²)(2²) => Height = ( 6 )(2 ) = 12 cm Length of height = 12 Least natural number = 1 Hence 12 - 1 = 11 11 should be subtracted from the length of the height to get the least natural number Learn More: using the concept of Pythagoras theorem CONSTRUCT a segment of ... draw a tangent segment of length √12 cm the circle with centre o ... |
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