an iron rod 5m long is placed aginst the wall in such a way that was foot of the rod is 3m away from the wall find how high the top of the iron rod reaches the wall
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Answer:
Given:-
Base ⇒ x
Height ⇒ 3 metres
Hypotenuse ⇒ 5 metres
To Find:-
The value of the base.
Solution:-
To find the value of the base we must apply the Pythagorean Theorem. This theorem is only used in right angled triangles and the hypotenuse is known to be the largest side.
The formula for Pythagorean theorem is mentioned below. Using this theorem we will proceed with our question.
Pythagorean Theorem ⇒ Base² + Height² = Hypotenuse²
⇒ 3² + x² = 5²
⇒ (3 × 3) + x² = (5 × 5)
⇒ 9 + x² = 25
⇒ 9 + x² - 9 = 25 - 9
⇒ x² = 16
⇒ x = √16
⇒ x = 4
∴ The value of the base is 4 metres.
Step-by-step explanation:
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hope it will be helpfull for you
4 m
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