Question

5
3) In ∆ABC, right angled at B. If AB = 14 cm and AC =50 cm then tan A=
​

Answer 1

Answer:

48

14 sq - 50 sq = BC Sq ....

Answer 2

• tan A is 48/14

Step-by-step explanation:

To find:-

• Value of tan A.

Solution:-

Given that,

• ∆ABC is right angle triangle.
• Angle B is right angle.
• AB is 14 cm.
• AC is 50 cm.

tan θ = Perpendicular/Base

tan A = BC/AB

Perpendicular = BC

Base = AB

• We do not have BC.

According to Pythagoras theorem

Perpendicular² = Hypotenuse² - Base²

➝ (BC)² = (AC)² - (AB)²

➝ (BC)² = (50)² - (14)²

➝ (BC)² = 2500 - 196

➝ (BC)² = 2304

➝ BC = √2304

➝ BC = 48

Tan A = BC/AB

➝ Tan A = 48/14

Therefore,

tan A is 48/14

___________________

✽ More ratio's:-

• sin θ = Perpendicular/Hypotenuse
• cos θ = Base/Hypotenuse.
• cot θ = Base/Perpendicular.
• cosec θ = Hypotenuse/Perpendicular.
• sec θ = Hypotenuse/Base.