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Solve the following examples.(1) Find the height of an equilateral triangle having side 2a.(2) Do sides 7 cm, 24 cm, 25 cm form a right angled triangle ? Give reason.(3) Find the length a diagonal of a rectangle having sides 11 cm and 60 cm.(4) Find the length of the hypotenuse of a right angled triangle if remaining sides are 9 cm and 12 cm.(5) A side of an isosceles right angled triangle is x. Find its hypotenuse.(6) In ∆PQR; PQ = 8, QR = 5, PR = 3. Is ∆PQR a right angled triangle ? If yes, which angle is of 90°?

Answer» Solve the following examples.

(1) Find the height of an equilateral triangle having side 2a.

(2) Do sides 7 cm, 24 cm, 25 cm form a right angled triangle ? Give reason.

(3) Find the length a diagonal of a rectangle having sides 11 cm and 60 cm.

(4) Find the length of the hypotenuse of a right angled triangle if remaining sides are 9 cm and 12 cm.

(5) A side of an isosceles right angled triangle is x. Find its hypotenuse.

(6) In ∆PQR; PQ = 8, QR = 5, PR = 3. Is ∆PQR a right angled triangle ? If yes, which angle is of 90°?


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