Question

find the area of the triangle whose sides are 16 cm 8 cm and 17 cm find the length of the altitude corresponding to the largest side of the triangle
pls give correct answer with step by step answer....​

Answer 1

ANSWER

Given, sides of triangle 5 cm, 12 cm, 13 cm.

Now semi perimeter, s= =

2

sum of the sides of triangle  

=

2

5+12+13

=15 cm

Using heron's formula, Area of triangle=

s(s−a)(s−b)(s−c)

=

15(15−5)(15−12)(15−13)

=  15×10×3×2

=30cm

2

Using altitude, area of triangle =

2

1

× base × altitude =30cm

2

=

2

1

×13× altitude =30

= altitude =

13

30×2

=4.61 cm

So, altitude corresponding to largest side is 4.61 cm.