the length of the two legs of a right triangle are 2 square root 3 and 5 what is the length of the hypotenuse
1 answer:
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Answer:
5 meters.
Step-by-step explanation:
Given:
Mr. Dyer is leaning a ladder against the side of his house to repair the roof.
The top of the ladder reaches the roof, which is 3 meters high.
The base of the ladder is 4 meters away from the house, where Mr. Dyer's son is holding it steady.
Question asked:
How long is the ladder?
Solution:
<em>Here we found that a right angle triangle is formed in which base and height is given and we have to find the longest side of the triangle.</em>
Base = 4 meters
Height = 3 meters
Length of the ladder = ?
<u>By Pythagoras theorem: </u>
Square of longest side = Square of base + Square of height
Taking root both side :-
Thus, length of ladder is 5 meters.