Question

triangle whose sides are 42 cm 34 cm and 20 cm in length hence find the height responding to the longest side

Answer 1

$\textbf {Hey there, here is the solution.}$

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STEP 1 : Find the area of the triangle :

area = √(p)(p-a)(p-b)(p-c)

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p = (42 + 34 + 20) ÷ 2 = 48

area = √48(48 - 42)(48-34)(48-20)

area = √56448

area = 237.59 cm²

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STEP 2: Find height of the longest side:

Area =1/2 Base x Height

237.59 = 1/2 x 42 x Height

Height = 237.59 ÷ 21 = 11.31 cm

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Answer: The area is 237.59 cm² and the height is 11.31 cm

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$\textbf {Cheers.}$