The sides of a triangle are 45cm, 39cm, and 42 cm, find its semiperimeter
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Sides of a triangle are 45 cm, 39 cm and 42 cm. Here, a = 45cm, b = 39cm, c = 42cm Semi perimeter of triangle = s = (1/2) (a + b + c) = (1/2) (45 + 39 + 42) = 126/2 = 63 Area of a triangle ∴ The area of the triangle is 756 sq.
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Step-by-step explanation:
Hey
a = 42 cm
b = 39cm
c = 45cm .
So ,
s = a + b + c / 2
s = 42 + 39 + 45 / 2
s = 126 / 2
s = 63 .
Now ,
area = \sqrt{s(s - a)(s - b)(s - c)}area=
s(s−a)(s−b)(s−c)
= \sqrt{63(63 - 42)(63 - 39)(63 - 45)}=
63(63−42)(63−39)(63−45)
= \sqrt{63 \times 21 \times 24 \times 18}=
63×21×24×18
= \sqrt{9 \times 7 \times 7 \times 3 \times 6 \times 4 \times 6 \times 3}=
9×7×7×3×6×4×6×3
= 3 \times 7 \times 3 \times 6 \times 2=3×7×3×6×2
= 108 \times 7=108×7
= 756=756
So , area = 756 cm²
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