Which of these sets is a Pythagoreah Triple?
2 answers:
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Answer:
Correct option is D. No, since the ratios of the corresponding sides are not proportional.
Step-by-step explanation:
Please refer to the attached figure
Let height of coach represents by AB = 6 feet
And shadow of coach represents by BC = 4 feet
Let height of goal post represents by DE = x feet
And Shadow of goal post represents by EF = 12 feet.
Since measurement of shadows are at same time. therefore ratio of height of coach and height of goal post must be same as ratio of shadow of coach and shadow of goal post.
⇒ 6/x = 4/12
⇒x = 72/4 = 18 feet
So goal post is not at regular height , since expected height is 20 feet while actual height is 18 feet . And if we consider value of x as 20 feet instead of 18 feet , ratio of corresponding sides will not match.
Hence correct answer is D. No, since the ratios of the corresponding sides are not proportional.
