Q) Vertices of a right triangle ABC with ∠ B = 90 are A (3, 4), B (1, 1) and C (- 8,7) Find the value of tan A.

(Q 25 A – 30/5/2 – CBSE 2026 Question Paper)

Ans:

[Approach: to find value of tan A, we need to find length of CB and AB]

Step 1: Length of CB

We know that according to the distance formula, distance between 2 points (x1,y1) and (x2,y2)

D =

For line segment CB, B (1, 1) and C (- 8,7)

∴ length of CB =

= = √(81 + 36)

= √117 = 3√13 units

Step 2: Length of AB:

Next distance AB between points A (3, 4) and B (1, 1) by distance formula:

∴ Length of AB =

=

= √(4 + 9) = √13 units

Step 3: Value of tan A

∴ tan A =

∴ tan A = 3

Therefore, value of tan A is 3.

Please press “Heart” if you liked the solution.