ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate the area of △ABC. Also find the length of perpendicular from A to BC.
Mensuration
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Question

ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate the area of △ABC. Also find the length of perpendicular from A to BC.

KnowledgeBoat · Accepted Answer

It is given that AB = AC = 4 cm From figure, Using the Pythagoras theorem, BC² = AB² + AC² Substituting the values we get, ⇒ BC² = 4² + 4² ⇒ BC² = 16 + 16 = 32 ⇒ BC = cm. Let perpendicular from A to BC be h cm. Area of △ABC = × base × height = × AC × AB = = 8 cm. From figure, Area of △ABC = × BC × h. Hence, area of △ABC = 8 cm² and length of perpendicular from A to BC = 2.83 cm.

Mathematics

ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate the area of △ABC. Also find the length of perpendicular from A to BC.

Mensuration

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