Question

The sides of a triangle are 70 cm, 108 cm and 122 cm: The length of its longest altitud
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Answer 1

Answer:

hi buddy

Step-by-step explanation:

the hypotenuse is the longest side of a triangle. So I think that either the question is incorrect or incomplete. Anyways, if it's for a hypotenuse then 122cm is the longest, since the longest side is always the hypotenuse and here 122cm is the longest.

Answer 2

Answer:

107.33

Step-by-step explanation:

Given,

Sides of triangle are 70 cm,108 cm and 122 cm.

To find longest altitude,

We should first find the area,

semi perimeter is equal to :

(a+b+c)/2

=(70+108+122)​/2

=2300​

=150

using the heron's formula we can find area,

=√s(s−a)(s−b)(s−c)​

=√150(150−70)(150−108)(150−122)​

=√150×80×42×28​14,112,000​

=3,756.60

Now, to find longest altitude, we should take the base very short.

1/2×b×h=3,756.6

1/2×70×h=3,756.6

35h=3,756.6

h=3,756.6/35

h=107.33 cm

107.33 is the longest altitude.