Question

Abc is a right angled triangle with bac = 90. Ad is drawn perpendicular to bc. If ab = 60 cm and ac = 80 cm, then find the length of bh.

Answer 1

Answer:

Step-by-step explanation:

Here hypotenuse BC = 100 cm (by Pythagorean Triplet)

AH = (80×60)÷100 cm

=48 cm

If Perpendicular AH is drawn on Hypotenuse BC, AH will be Perpendicular of ∆ABH, AB will be Hypotenuse and BH will be the base of ∆ABH

So, the Base BH^2 = AB^2-AH^2

= (60^2-48^2)cm

= (3600-2304)cm

=1296cm

BH=√1296cm

=36cm