Question

Find the area of a triangle whose sides are 42 cm ,34cm and 20 cm . find the height corresponding to the longest side

Answer 1

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

.............................................................................................

STEP 1: Find the area of the triangle:

Area of the triangle = √(p)(p-a)(p-b)(p-c)

p = (42 + 34 + 20) ÷ 2 = 48

Area = √48(48-42)(48-34)(48-20)

Area = √112896

Area = 336 cm²

.............................................................................................

STEP 2: Find the height corresponding to the longest side:

Longest sife = 42 cm

Area = 1/2 x base x height

336 = 1/2 x 42 x height

336 = 21 x height

height = 336 ÷ 21

height = 16 cm

.............................................................................................

Answer: The height is 16 cm

.............................................................................................

$\textbf {Cheers}$