Question

find the area of the triangle with sides 25 cm and 26 CM also find the height of the triangle corresponding to the smallest side of the triangle​

Answer 1

Answer:

24cm

Step-by-step explanation:

According to the Heron's formula, Area (A) of the triangle having sides a,b,c units is

A=

s(s−a)(s−b)(s−c)

where

s=

2

a+b+c

For the given triangle,

a=18 cm

b=24 cm

c=30 cm

s=

2

18+24+30

=36

A=

36(36−18)(36−24)(36−30)

A=

36×18×12×6

A= square root under 216 × 216

= 216 cm square

Smallest side =18 cm

Area of the triangle = 1/2 ×base×altitude=216

1/2 × 18 × altitude = 216

Altitude = 216/9 = 24cm. Ans.