a triangle whose two sides are 60 cm and 100 cm with perimeter of 300 cm find the area with heron's formula
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AB = 60 cm(a)
BC = 100 cm(b)
CA = ?
PERIMETER = AB+BC
+CA
300 = 60+100+CA
300=160 + CA
300-160=CA
CA = 140 cm(c)
NOW,
SEMI PERIMETER = PERIMETER/2
= 300/2
=150
BY USING HERON'S FORMULA,
Ar. = √[s(s-a)(s-b)(s-c)]
Ar. = √[150(150-60)(150-100)(150-140)]
Ar. = √[150×90×50×10]
Ar. = √[5×3×2×5×3×3×2×5×5×5×2×2×5]
Ar. = 5×3×2×5×5×2√3
Ar. = 750×2√3
Ar. = 2598.076 cm² ( required answer )
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