Find the area of a triangle, two sides of which are 10 cm and 6 cm and the semi perimeter is 14 cm. pleasee help very URGENT
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Answer:
the area is 8√14cm².
Step-by-step explanation:
let the sides be a, b and c.
a = 10cm
b = 6cm
c = ?
semi perimeter = a+b+c/2 = 14cm
10+6+c/2= 14
16 + c = 28
c = 28 - 16 = 12cm
using heron's formula,
area = √s(s-a(s-b)(s-c)
= √14(14-10)(14-6)(14-12)
√14 x 4 x 8 x 2
= √2x7x2x2x2x2x2x2
=8√14cm²
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