Question

if the sides of a triangle are 34 cm 54cm and 61cm then find the length of its longest altitude​

Answer 1

Answer:

we will first find the area of the triangle and then use the formula of area of isoceles

Step-by-step explanation:

use the area of scalene triangle

$\sqrt{s(s - a)(s - b)(s - c)}$

where s is a+b+c/2

s=74.5

so,

$74.5(74.5 - 34)(74.5 - 54)(74.5 - 61)$

$74.5(40.5)(20.5)(13.5)$

835,023.93 is the area

now

$\frac{1}{2} \times b \times h = 835023.93$

h=835023.93x2/61

h=27377.83