Question

the sides of a triangle are 35cm 54cm and 61cm respectively. the length of its longest altitude is

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

#Prashant24IITBHU

Answer 2

Answer:

24√5

Step-by-step explanation:

Follow me

Mark as brainliest