Question

ABC is a traingle, right angled at B. Given that AB is 1.5cm and AC is 2.5cm calculate the value of tan C

Answer 1

Answer:

Tan C = $\bold{\frac{3}{4}}$

Step-by-step explanation:

By Pythagorous theorem,

AC² = AB² + BC²

(2.5)² = (1.5)² + BC²

BC² = 6.25 - 2.25

BC² = 4

BC = √4

BC = 2

Data :

Perpendicular = AB = 1.5 ;

Base = BC = 2 ;

Hypotenuse = AC = 2.5

Now substitute for,

Tan C = $\bold{\frac{perpendicular}{base}}$

Tan C = $\bold{\frac{1.5}{2}}$

$\bold{\boxed{Tan C = 3/4}}$

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