Question

the sides of triangle are 35,54 and 61 cm the length of ots longitude​

Answer 1

In a triangle the shortest side acts as the base for the longest altitude.

Here, in the given question the side of 35 cm length is the shortest. Hence it will act as the base for the longest altitude.

Thee altitude divides its base into two parts.

Let's assume the length of one part be x. Then the length of the second part will become (35 - x).

Now by using Pythagoras theorem the length of the altitude is given by.

L²= [54²-x²]........(i) and also by

L²= [61²-(35-x)²]........(ii)

By substracting eq(i) from eq (ii) we get

61²-54²-(35-x)²+x²=0

70x =420

x=6

Now substituting the value of x in eq (i) we get

L² =54²-6²

L=√2880

L =24√5

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