Question

in a triangle ABC right angled at b a c is equal to 20 cm and tan ACB is equal to 3 upon 4 calculate the measures of a b and b c​

Answer 1

Answer: ab = 12 cm ; bc = 16 cm

Step-by-step explanation:

Tan ACB = 3/4

Tan ACB = opposite side/adjacent side = 3/4 = AB/BC

AB = 3 parts  BC = 4 parts

By Pythagoras theorem:

AB² + BC² = AC²

Since 3/4 is a ratio:

3² + 4² = AC²

25 = AC²

AC = √25 = 5 parts  [consider only positive root]

Given, AC = 20 cm

AC=== 5 parts = 20 cm

           1 part = 20/5 = 4 cm

AB = 3 parts = 3*4 = 12 cm

BC = 4 parts = 4*4 = 16 cm

Answer 2

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