find the area of scalene triangle whose sides are 7 cm 9 cm and 10 cm respectively
Answers
Answered by
2
Answer:
2 cm
Explanation:
Length of sides are 7 cm, 8 cm and 9 cm
semi-perimeter =
2
(7+8+9)
cm
S=12cm
using Heuron's formula, Area of triangle
=
S(S−a)(S−b)(S−c)
,where a,b,c, are sides of triangle
=
12×5×4×3
=
4×4×3×3×5
=12
5
cm
2
I hope that answers is helpful
Answered by
1
Answer:
Explanation:
using heron's formula
√[S(S-a)(S-b)(S-c)]
a=7cm b = 9cm c= 10cm
S = (a+b+c)/2 = (7+9+10)/2
= 26/2 = 13cm
so here
√[13(13-7)(13-9)(13-10)]
=√[13(6)(4)(3)]
=√[ 13 x 6 x 4 x 3 ]
=√[ 234 x 4]
=√[936]
= 30.6cm²
therefore the are of the triangle is 30.6cm²
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