Question

Sides of a triangle 61 ,54 and 35. Find the longest altitude​
step by step explanation

Answer 1

Hey User,

Here is Your answer,

Let the three side be a,b and c.

a=61

b=54

c=35

S=$\tt{\frac{a+b+c}{2}}$

S=$\sf\pink{\frac{61+54+35}{2}}$

S=$\sf\blue{\frac{150}{2}}$

S=$\sf\pink{75}$

Now,Using herone formula.

Area of triangle=$\large\sqrt{(s) (s-a)(s-b)s-c)}$

$\large\sqrt{75(75-61)(75-54)(75-35)}$

$\large\sqrt{(75)(14)(21)(40)}$

Area of triangle=939.1cm

Now,

To find Biggest altitude,we have to take biggest base.

Base=61

Altitude=?

Area=939.1

$\huge\sf\blue{\frac{1}{2}×base×height}$

$\huge\sf\blue{\frac{1}{2}×61×h=939.1}$

h=$\frac{939.1}{61}$

h=15.3m/cm approx

Thank You!

#Bebrainly