Question

In triangle ABC, ZB = 90° and tan A = 0.75.
If AC = 30 cm, find the lengths of AB
and BC​

Answer 1

Answer:

Given, △ABC, ∠B=90∘

tanA=0.75, AC=30

Now, tanA=BP=BP=ABBC=43

Hence, letAB=4x, BC=3x

Using Pythagoras Theorem, 

AC2=AB2+BC2

302=(3x)2+(4x)2

302=25x2

900=25x2

x=6

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Answer 2

Answer:

Given, △ABC, ∠B=90

∘

tanA=0.75, AC=30

Now, tanA=B/P = AB/BB= 4/3

Hence, letAB=4x, BC=3x

Using Pythagoras Theorem,

AC

2

=AB

2

+BC

2

30

2

=(3x)

2

+(4x)

2

30

2

=25x

2

900=25x

2

x=6

Thus, AB=24 and BC=18

Step-by-step explanation:

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