Calculate the area of the triangle whose sides are 18 cm, 24 cm and 30 cm in length. Also find the length of the altitude corresponding to the smallest side.
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Solution
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Correct option is A)
According to the Heron's formula, Area (A) of the triangle having sides a,b,c units is
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Calculate the area of the triangle whose sides are 18 cm, 24 cm and 30 cm in length. Also find the length of the altitude corresponding to the smallest side.
Medium
Solution
verified
Verified by Toppr
Correct option is A)
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:
answer=24
Step-by-step explanation:
For the given triangle,
a=18 cm
b=24 cm
c=30 cm