The base and height of a right-angled triangle areequal. The square of the hypotenuse is 50. Find the base and height.
Answers
Answered by
10
As the two sides are equal, And square of Hypotenuse i.e Hypotenuse ² = 50,
Let side of the triangle be x,
According to Pythagoras Theorem,
Side² + Side² = Hypotenuse²,
=> As sides are equal, Both are x
=> x² + x² = 50
=> 2x² = 50,
=> x² = 25,
=> x = +5 or -5 ,
But sides can't be negative,
So the length of the legs is +5
Answered by
0
Answer:
height and base both are 5m
Step-by-step explanation
let height and base be X
. by Pythagoras theorum
we know that ,
( perpendicular)^2 + (base)^2= ( hypotenuse)^2
x^2 + X^2 = 50
2X^2=50
x^2 = 25
x = √25
X=5
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