Math, asked by ahmad13, 1 year ago

THE BASE AND HEIGHT OF A TRIANGLE IS IN THE RATIO 3:4 and its area is 96 cm ^2 find its base and height

Answers

Answered by rency1
9
let ratio be 3x and 4x
area=1/2×base×height
96=1/2×3x×4x
96=1/2×12x^2
192=12x^2
192÷12=x^2
16=x^2
4=x

so Base =3x=12
height=4x=16

ahmad13: wrong
rency1: how
rency1: proof for right answer area is given 96 I have found base n height 12 n 16 .formula for area 1/2×base×height.1/2×12×16=96
ahmad13: thank you
ahmad13: for your help
rency1: wlcm dear
ahmad13: why you wrote 96 = 1/2 * 12x^2
rency1: 4x×3x=12x^2
Answered by tpking
2
le the ratio be x
base=3x
height=4x
area of triangle =1/2×b×h
96m^2=1/2×3x×4x
96m^2=6x^2
x^2=16m^2
x=√16m^2
x=4m
base=3x=3×4m=12m
height=4x=4×4m=16m

hope this answer will help you
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