Question

Find the area of a right angle triangle ABC in which perpendicular AB=3 cm and Base BC=4 cm.​

Answer 1

Step-by-step explanation:

If the angle B = 90°, AC is the hypotenuse and is equal to

5 cm by Pythagoras theorem.

Area of ∆ ABC = (1/2)(AB)(BC)

= (1/2)(3)(4) = 6 cm^2 …….(1)

If the hypotenuse is taken as the base and BD as the

height then the area of the ∆AB

= (1/2)(AC)(BD)

=> (1/2)(5)(BD) = 6 from (1)

=> BD = 12/5 = 2.4 cm.