Question

The base and corresponding altitude of a triangle are in the ratio 3:4. If the area
of the triangle is 294 cm2, find the base and the altitude.
​

Answer 1

Answer:

let's the base be 3x & altitude be 4x

A = 1/2 x b x h

294 = 1/2 x 3x x 4x

294 = 6x

x = 294/6

x = 49

so, b= 3(49) ; h = 4(49)

b = 147cm h = 196cm

Answer 2

Answer:

Let the ratio be x

base = 3x height = 2x

area of triangle = 108

⇒

2

1

×2x×3x=108

⇒3x

2

=108

⇒x

2

=36

x=6

Base=3x=3×6=18cm

height=2x=2×6=12cm.