The area of right angle triangle is 100sq cm. The ratio of base to its height is 4:5.Find the length of the hypotenuse?
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3
Question:-
The area of right angle triangle is 100sq cm. The ratio of base to its height is 4:5.Find the length of the hypotenuse?
Answer:-
Description for Correct answer:
Base = 4x cm
height = 5x cm
Area =
1
2
× base× height
=> 80=
1
2
×4x×5x
=> 10x2=80
=> x2=
80
10
=8
=> x=
√
8
=2
√
2
cm
∴ Hypotenuse
=
√
base2+perpendicular2
=
√
(4x)2+(5x)2
=
√
(16+25)x2
=
√
41
x =
√
41
×2
√
2
= 2
√
82
cm
hope it helps you☺
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2
Answer:
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