Question

The sides of a triangle are 5cm , 12cm and 13cm, find it’s

area and find the altitude to the 13cm.​

Answer 1

Step-by-step explanation:

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 13cm is 4.61 cm.