Question

in triangle abc angle b is right angle and BD is an altitude on AC if AB is equals to 8 and BC is equals to 6 then find BD

Answer 1

hiiii friend
here is your answer
in triangle ABC (right angled at B)
by using pythagoras theorem
AC^2 =AB^2+BC^2
AC^2= 64×36
AC^2=100
AC=10 units
now
area of triangle ⬇⬇⬇
$area = height \times base \times \frac{1}{2} \\ = 8 \times 6 \times \frac{1}{2} \\ = 24 {units}^{2}$
now again area⬇⬇⬇
$24 = height \times 10 \times \frac{1}{2} \\ 4.8unit = height$
so the length of BD=4.8 units


glad to help you
hope it helps
thank you.