Question

thebase and height of a triangle is 3:2 if its area is 75sq.cm.Find its base and height

Answer 1

Answer:

let the height and base be = 3x and 2x respectively.

area of a ∆ = ½×b×h

therefore,

75cm² = ½×3x×2x

= 3x²

x² = 75÷3

= 25

x = √25

= 5

therefore,

base = 5×3 = 15cm

height = 2×3 = 6cm

PLEASE MARK ME THE BRAINLIEST

Answer 2

Step-by-step explanation:

area of fthe truangle = 1/2 × base × height

let be take ratio is x

so, base = 3x, height = 2x

now, 1/2 × 3x × 2x = 75

then, 1/2 × 6x = 75

3x = 75

x = 25

now, base = 3x = 3 × 25 = 75 cm

height = 2x = 2× 25 = 50 cm