Question

The side of a triangle area 25 cm, 39 cm and 56 cm. find the altitude to the longest side.

Answer 1

Answer:

Step-by-step explanation:

STEP 1: Find the area:

Area = √(p)(p-a)(p-b)(p-c)

p = (25 + 39 + 56) ÷ 2 = 60

Area = √(60)(60-25)(60-39)(60-56)

Area = √176400

Area = 420 cm²

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STEP 2: Find the altitude:

Area = 1/2 x base x height

420 = 1/2 x 56 x height

420 = 28 x height

height = 420 ÷ 28

height = 15 cm

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Answer: The altitude is 15 cm

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