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The length of the sides of a triangle are in the ratio 4:5:6 and its perimeter is 150cm . Find height corresponding to the longest side. Solve it

Answer»

The height corresponding to longest side may be 40 cm or 50 cm.

Step-by-step EXPLANATION:

Given : The length of the SIDES of a triangle are in the RATIO 4:5:6 and its perimeter is 150 cm.

To Find : The height corresponding to the longest side ?

Solution :

Let the ratio be 'x'.

The length of the sides of a triangle are in the ratio 4:5:6.

i.e. sides of triangle are 4x,5x and 6x.

Its perimeter is 150 cm.

i.e. 4x+5x+6x=150

15x=150

x=\frac{150}{15}

x=10

The sides are 4x=4(10)=40 cm

5x=5(10)=50 cm

6x=6(10)=60 cm

The longest side is 60 cm.

The height corresponding to longest side may be 40 cm or 50 cm.

#Learn more

The perimeter of triangle is 90 cm and the length of its sides are in the ratio 6:5:4. find the length of the shortest side

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