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?
Answers
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
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