Question

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Answer 1

Answer:

16.8 cm

Step-by-step explanation:

Given, sides are 28cm,21cm and 35cm.

Semi-perimeter of triangle s = (28 + 21 + 35)/2

= 42 cm.

Area of triangle = √s(s-a)(s-b)(s-c)

= √42(42-28)(42-21)(42-35)

= √86436

= 294 cm

Area of triangle = (1/2) * base * altitude

294 = (1/2) * 35 * altitude

588/35 = altitude

altitude = 16.8 cm.

Therefore, longest side of the triangle is 16.8cm.

Hope it helps you

#bebrainly

Answer 2

Answer:

Step-by-step explanation:

Semi-perimeter of triangle s = (28 + 21 + 35)/2

= 42 cm.

Area of triangle = root s(s-a)(s-b)(s-c)

= root 42(42-28)(42-21)(42-35)

= root 86436

= 294 cm

Area of triangle = (1/2) * base * altitude

294 = (1/2) * 35 * altitude

altitude=588/35

altitude = 16.8 cm.