Question

The sides of a triangle are 17 cm , 25cm, 26 cm , the length of the altitude corresponding to the shorter mole

Answer 1

Answer:

24 cm

Step-by-step explanation:

Given,

a = 17 cm, b = 25 cm, c = 26 cm

We know,

s = a+b+c/2

s = 17+25+26/2

s = 68/2

s = 34

Now,

Area = √s(s-a)(s-b)(s-c)

        = √34(34-17)(34-25)(34-26)

        = √34 x 17 x 9 x 8

        = √2 x 17 x 17 x 3 x 3 x 2 x 2 x 2

        = 2 x 2 x 17 x 3

        = 204 cm^2

Now, Length of altitude corresponding to largest side---

area = 1/2 base x altitude

area = 1/2 x 17 x AM

204 = 1/2 x 17 x AM

204 x 2/17 = AM

24 = AM

or

AM = 24

Hence, the length of altitude corresponding to shortest side = 24 cm