maths lesson 12 herons formula
find the area of triangle shoes sides are 10cm 24cm 26cm
also use
area of triangle
perimeter of the triangle
herons formula
area of triangle √s(s-a) (s-b) (s-c)
where s ( semi perimeter)
s =a+b+c
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Answer:
Step-by-step explanation:
10cm ; 24cm; 26cm
s= (a+b+c)/2 = (10+24+26)/2 = 60/2 = 30
Area of triangle = √s(s-a) (s-b) (s-c) = √30(30-10)(30-24)(30-26)
√30*20*6*4 = √3600*4 = 60*2 = 120cm²
Perimeter = 2s = 2(30) = 60cm
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I side of triangle (a) =10cm
II side of triangle(b) =24cm
III side of triangle (c) =26cm
Area of triangle
semi perimeter =a+b+c/2
10+24+26/2
60/2
=30
by heron's formula =√s(s-a) (s-b) (s-c)
=√30(30-10) (30-24) (30-26)
=√30(20) (6) (4)
=√3×5×2 ×2×2×5×3×2×2×2
=5×3×2×2×2=120
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