Question

the base and height of a triangle in the ratio 3:4 and its area is 150m find base and height


FULLY EXPLAINED​

Answer 1

Answer:

let the base and height be 3x and 4x respectively

Area of triangle is =

2

1

×base×height

hence,

⇒

2

1

×3x×4x=150

⇒4x

2

=100

⇒x=

25

⇒±5

on putting the value of x=5m

height4×5

hence, we get

height=20m

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Answer 2

Step-by-step explanation:

Given:-

Area of triangle =

Ratio of the base and the height is = 3:4

Let the base be 3x and height be 4x respectively.

Area of triangle =

$\sf{{150}^{2}}</p><p>According to the question,</p><p>\sf\implies{\frac{1}{2}}</p><p>\sf\implies{{4x}^{2}}</p><p>\sf{\sqrt{25}}</p><p> = </p><p>\sf\implies{x}</p><p>\sf\implies{+_ 5}$

On putting the value of x= 5 m

Height = 4× 5

Hence, we get height = 20m.

Solution:-