Find the area of triangle abc in which bc is equal to 8 cm ac is equal to 15 cm and ab equals to 17 cm find the length of altitude drawn on a b
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Step-by-step explanation:
Semi perimeter = s
s =( AB +BC + AC)/2
s = (17 + 8 + 15)/2 = 40/2 = 20cm
By Heron's formula, area of triangle ABC,
Area = √s(s-a)(s-b)(s-c)
= √20 (20 - 17) (20 - 8) (20 - 15)
= √20 (3 x 12 x 5)
= √20 x 180
= √3600 = 60cm²
Again area of triangle = 1/2 base x height\
60 = 1/2 x 17 x h
h = 120/17
h = 7.05cm
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