the base and height of a triangle are in the ratio 2:3 and its area is 48cm²find its base and height
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Answered by
0
Answer:
Answer:
area of triangle= 1/2 × b× h
area=48cm²
ratio of base to height= 2:3
let the values be x
thus, base= 2x
height= 3x
now, 48=1/2 × 2x × 3x
=48=x + 3x
=48=4x
x=48/4
x=12
therefore, base= 2x= 2×12=24 cm
height= 3x= 3×12=36 cm
Answered by
3
Answer:
base=8cm height=12cm
Step-by-step explanation:
Given b:h=2:3
base=2x
height=3x
AREA OF TRIANGLE=(1/2)×B×H
Given: Area=48cm^2
(1/2)×(2x)×(3x)=48
3(x^2)=48
x^2=16
x=4
Base=2x=2×4=8
Height=3x=3×4=12
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