# Solution - Pythagoras Theorem

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ConceptPythagoras Theorem

#### Question

Sides of triangles are given below. Determine which of them are right triangles? In case of a right triangle, write the length of its hypotenuse.

3 cm, 8 cm, 6 cm

#### Solution

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#### Similar questions

In the following figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB. Show that

(i) OA2 + OB2 + OC2 − OD2 − OE2 − OF2 = AF2 + BD2 + CE2

(ii) AF2 + BD2 + CE= AE2 + CD2 + BF2

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Sides of triangle are given below. Determine it is a right triangle or not? In case of a right triangle, write the length of its hypotenuse.

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In a right triangle ABC, right-angled at B, BC = 12 cm and AB = 5 cm. The radius of the circle inscribed in the triangle (in cm) is
(A) 4
(B) 3
(C) 2
(D) 1

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The perpendicular AD on the base BC of a ∆ABC intersects BC at D so that DB = 3 CD. Prove that 2AB^2 = 2AC^2 + BC^2

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