Question

In triangle ABC , AD BC , AC =50cm , BD =9cm , DC = 30cm . Find a)AD b)area of triangle ABC. c)perimeter of triangle ABC​

Answer 1

Answer:

Step-by-step explanation:

a) AD :  To find AD, we consider the triangle ADC, since angle D is perpendicular i.e., 90 degree, we use the Pythagoras theorem.

AD^2 = 50*50 - 30*30 = 2500 - 900 = 1600

AD = 40cm

b) Area = 1/2(b*h) = 40*39 / 2 = 39 *20 = 780cm^2

c) Perimeter  = sum of the sides = 50+39+AB

By Pythagoras theorem, AB^2 = 1600+81 = 1681 , AB = 41

Perimeter  = sum of the sides = 50+39+41 = 130