3. The area of a triangle of 300m, whose base and altitude
are in the ration 5:6. Find its base and altitude.
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Answer:
The ratio of the base and the altitude of the triangle is 5:6.
Suppose, the least common multiple is x .
So, the base and altitude are 5x and 6x respectively.
The area of the triangle is 300 sqm.
Conditionally,
300 = ½ × 5x × 6x
or, 300 × 2 = 30x^2
or, 600 / 30 = x^2
or, x = √20 = 2√5
Therefore, the base and the altitude of the triangle are 2√5×5= 10√5m and 2√5×6=12√5m respectively.
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