Question

10. The sides of a triangle are in the ratio 5:4:3 and its perimeter is 96cm. Find
i) The area of the triangle. ii) The length of the altitude corresponding to the longest side​

Answer 1

Answer:

Let the configuration be as follows :

ratio : 3:4:5, be side A, side B, side C respectively. The perimeter given is 96 cm.

Then, sum of ratio is : 3+4+5 = 12. Correspondingly, the sides A, B, C are (96/(12/3))=24cm, side A,

(96/(12/4))=32cm

(96/(12/5))=40cm, and 24+32+40=96cmQED.

Answer to Q1 : area is (half*24*32)=384sq cm

Answer to Q2 : 32cm is the height that corresponds to the longest side, which is 40cm.

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Answer 2

The Answer for your question is posted below

Hope it will help you.

ANSWERS:

(I) Area = 384 cm square

(ii) Height = 19.2 cm