ΔABC is right-angled at A.AD is perpendicular to BC, AB=5cm,BC=13cmand AC=12cm. Find the area ofΔABC. Also, find the length ofAD.
Step1: Finding the area ofΔABC
∆ABCis right–angled at A.
AB=5cm,BC=13cm and AC=12cm
now, area of triangle
Hence, area of∆ABC=30cm²
Step2:Finding length of AD
Area of triangle
Therefore the area of∆ABC=30cm² and length of AD=4.61cm
ΔABC is right angled at A (see the given figure). AD is perpendicular to BC. If AB = 5 cm, BC = 13 cm and AC = 12 cm, Find the area of ΔABC. Also find the length of AD.
ΔABC is right-angled at A and AD⊥BC. If BC = 13 cm and AC = 5 cm, find the ratio of the areas of ΔABC and ΔADC.
ABC is a right angled triangle with ∠ ABC = 90∘. D is any point on AB and DE is perpendicular to AC. Prove that : (i) Δ ADE~Δ ACB. (ii) If AC = 13 cm, BC = 5 cm and AE = 4 cm. Find DE and AD. (iii) Find, area of Δ ADE : area of quadrilateral BCED.