Question

4. Calculate the area of the triangle whose sides are 18 cm, 24 con
30 cm in length. Also, find the length of the altitude correspondin,
the smallest side.

​

Answer 1

Answer:

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=

216×216

=216 cm

2

Smallest side =18 cm

Area of the triangle =

2

1

×base×altitude=216

2

1

×18× altitude=216

Altitude =

9

216

=24 cm

Answer 2

Step-by-step explanation:

$h</p><p></p><p>b</p><p></p><p>=</p><p></p><p>2</p><p></p><p> \frac{a}{b} </p><p></p><p>$

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