In triangle ABC, given below, AB = 8 cm, BC = 6 cm and AC = 3 cm. Calculate the length of OC.
Pythagoras Theorem
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Question

In triangle ABC, given below, AB = 8 cm, BC = 6 cm and AC = 3 cm. Calculate the length of OC.

KnowledgeBoat · Accepted Answer

Let length of OC be x cm. In right angled triangle AOC, By pythagoras theorem, ⇒ (Hypotenuse)² = (Perpendicular)² + (Base)² ⇒ AC² = AO² + OC² ⇒ 3² = AO² + x² ⇒ AO² = 3² - x² ⇒ AO² = 9 - x² ⇒ AO = cm. From figure, BO = BC + CO = (6 + x) cm. In right angled triangle AOB, By pythagoras theorem, ⇒ (Hypotenuse)² = (Perpendicular)² + (Base)² ⇒ AB² = AO² + BO² ⇒ 8² = + (6 + x)² ⇒ 64 = 9 - x² + 36 + x² + 12x ⇒ 64 = 45 + 12x ⇒ 12x = 64 - 45 ⇒ 12x = 19 ⇒ x = . Hence, OC = cm.

Mathematics

In triangle ABC, given below, AB = 8 cm, BC = 6 cm and AC = 3 cm. Calculate the length of OC.

Pythagoras Theorem

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Mathematics

In triangle ABC, given below, AB = 8 cm, BC = 6 cm and AC = 3 cm. Calculate the length of OC.

Pythagoras Theorem

Related Questions

In a quadrilateral PQRS, ∠Q = ∠S = 90° then prove that 2PR2 - QR2 = PQ2 + PS2 + SR2.

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