Question

In triangle ABC, Tan A = ¾. The hypotenuse of triangle ABC is

Answer 1

Answer:

Here a short answer it's half

Answer 2

Answer :

• Hypotenuse of the triangle is 5 units.

Given :

• In a right angled triangle ABC, tanA = 3/4.

To Find :

• Hypotenuse of the triangle ABC.

Solution :

It is given that

• tanA = 3/4

As we know that

• tanθ = P/B

Here

• P = 3
• B = 4

We've to find H

→ H² = P² + B²

→ H² = (3)² + (4)²

→ H² = 9 + 16

→ H² = 25

→ H = √25

→ H = 5

Hence, the hypotenuse of the triangle ABC is 5 units.

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Extra Shots :

• sinθ = P/H
• cosθ = B/H
• tanθ = P/B
• cosecθ = H/P
• secθ = H/B
• cotθ = B/P

Where :

• P = perpendicular
• B = base
• H = hypotenuse