Question

The base of a triangle is 3 times its height if its area is 96 find the its base and height

Answer 1

Answer:

Height =8

Base=24

Step-by-step explanation:

Lets take the height as x

So base= 3x

Area=96

Area of triangle= 1/2*b*h

96=1/2*3x*x

96*2=3x2

192/3=x2

$\sqrt{64 = x } \\ 8 = x$

Answer 2

Answer:

Let the height of triangle is X cmt.

then base of triangle is 3x cmt.

its area is 96 mt^2

Area of a tringle = 1×base×height

2

96 =1×3x.x

2

2×96=3x^2

2×96=X^2

3

2×32=X^2

(8)^2=X^2

X=8cmt.

then;

base=3x

=3×8=24cmt.

height=8cmt.