Relation between Area and Sides of Similar Triangles
In the given ...
Question
In the given figure, AB and DE are perpendicular to BC. [3 MARKS] i) Prove that ΔABC∼ΔDEC ii) If AB = 6 cm, DE = 4 cm and AC = 15 cm, calculate CD. iii) Find the ratio of the area of ΔABC : area of ΔDEC
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Solution
Each Part: 1 Mark
i) In ΔABC and ΔDEC, ∠ABC=∠DEC[∵AB⊥BCandDE⊥BC] ∠BCA=∠DCE [Common] ∴ΔABC∼∠DEC [By AA similarity axiom]