Question

The length of three side of triangle are 18 cm 24 cm and 30 cm find the height corresponding to the smallest side

Answer 1

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lengths of three sides of a triangle are

18,24and 30

By Heron's formula

the area will be

s=a+b+c/2

then

18+24+30/2=

72/2=36 is semi perimeter.

by Heron's formula

the area

√s(s - a)(s - b)(s - c)

√36(36-18)(36-24)(36-30)
√36×18×12×6=
6×6×3×2×3×3×2×2×3×2

6×3×3×2×2=

216cm square

smallest side is 18cm

another formula of area of triangle

1/2×b×h

but area will be same

216 =. 1/2×18×h.

h. =. 216×2/18

then side will be 24 cm

this may help you

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Answer 2

Answer:

24 Cm

Step-by-step explanation:

here,a=18cm,b=24cm,c=30cm

so, s=1/2(18+24+30)=36cm

(s-a)=18cm,(s-b)=12cm,(s-c)=6cm

Area=s(s-a)(s-b)(s-c)

root lgana h is neche me jo likh rhi hu kuki mere option nhi h root ka okayy

36×18×12×6=216cmsq.

Also,1/2×18×h=216

h=216×2/18=24cm

hope it helps you

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