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 1

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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Answer 2

Answer:

the answer is in the photo