Question

Triangle ABC is right angled at A. AD is drawn perpendicular to BC. It AB =5 cm and 12 cm, find the area of ABC. Also find the length of AD .

Answer 1

Sol: Given that triangle ABC right angled at A. Base = AB = 5cm, Height = AC = 12 cm Therefore, Area of the triangle = Base x Height. Area = AB x AC = 5 cm x 12 cm ⇒ Area = 60 cm2. Now, consider BC = Base, Height = AD. Area = Base x Height.⇒ 60 cm2 = 13cm x AD AD = 60 / 13⇒ AD = 4.615 cm