lengths of three sides of a triangle are 18cm, 24cm and 30cm, and then the height of corresponding to
smallest side is
a. 12cm b. 16cm c. 24cm d. 32cm
Answers
Answered by
0
Answer:
don't have any idea how are you
Answered by
1
Answer:
c. 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=
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
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