The base and height of a triangle are in the ratio 3:7. If the area of the triangle is 180 cm². Find the measure of its base and height.
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The base and height of a triangle are in the ratio 3:7. If the area of the triangle is 180 cm². Find the measure of its base and height.
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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.