The area of a right triangleis is 5400 . One of its lega measures 120m . Find the measures of its hypotenuse
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one of the legs is 120m
let another be y
Area of right angled triangle
=5400sq.m
we know that,
Area of right angled triangle
=1/2×product of legs
so,
5400 =1/2×120 ×y
5400=60y
y=5400/60
y = 90m
Therefore ,the another leg is 90m.
By Pythagoras theorem
(hypotenuse)^2=
(leg1)^2+(leg2)^2
(hypotenuse)^2=(120)^2+(90)^2
(hypotenuse)^2=14400 +8100
(hypotenuse)^2=22500
[by taking square root to both sides.]
Hypotenuse=150m.
The measure of the hypotenuse
is 150m.
hope this helps !!!#
one of the legs is 120m
let another be y
Area of right angled triangle
=5400sq.m
we know that,
Area of right angled triangle
=1/2×product of legs
so,
5400 =1/2×120 ×y
5400=60y
y=5400/60
y = 90m
Therefore ,the another leg is 90m.
By Pythagoras theorem
(hypotenuse)^2=
(leg1)^2+(leg2)^2
(hypotenuse)^2=(120)^2+(90)^2
(hypotenuse)^2=14400 +8100
(hypotenuse)^2=22500
[by taking square root to both sides.]
Hypotenuse=150m.
The measure of the hypotenuse
is 150m.
hope this helps !!!#
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