Question

triangle ABC is right angled at a ad is perpendicular to BC is equal to 5 cm BC equal to 30 cm and is equal to centimetres find the area of triangle ABC also find the length of a d​

Answer 1

Answer:

Area of ΔABC = 30cm

BD= 60/13 ≈4.615

Step-by-step explanation:

AB = 5 cm

BC = 30 cm

AC = 12 cm

TO FIND AREA OF TRIANGLE BAC

We know that triangle BAC is a right angled triangle right angled at A.

But we know that area of right angled triangle is 1/2 * base * height

Therefore in right angled triangle BAC

base = AB = 5cm

height = AC = 12cm

=> Area of triangle BAC = 1/2 * 5 * 12

                                        = 30 cm sq.

next is to find length of altitude AD

Take triangle ABC  ( It is because we are taking the normal triangle ABC not                                        

                                  the right triangle)

area = 1/2 * BC * AD

30 = 1/2 * 13 * AD

30 * 2 /13 = AD

60/13 = AD

=> AD = 4.615