Question

If the base and altitude of a triangle are given in the ratio of 3 : 7 and the triangle has an area of 378 cm², then calculate its base and altitude.​

Answer 1

Answer:

base = 18cm & altitude = 41cm

Step-by-step explanation:

Let the ratio be x

=> 3x : 7x

So, base = 3x

altitude = 7x

area of the triangle = 378 cm²

=> ½ × 3x × 7x = 378

=> ½ × 21x² = 378

=> 10.5x² = 378

=> x² = 378÷10.5

=> x² = 36

=> x = √36

=> x = 6

Hence, base = 3x = 3(6) = 18

altitude = 7x = 7(6) = 42

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