triangle

Asked by suchet_r | 30th Aug, 2009, 08:03: PM

Expert Answer:

Let ΔPQR be the right angled triangle, and PQR = 90,

Area of an equilateral triangle = 3x(Side)2/4

The area of equilateral triangle on side PQ = 3xPQ2/4

The area of equilateral triangle on side QR = 3xQR2/4

The area of equilateral triangle on side PR = 3xPR2/4

Using Pythagoras' Theorem,

PR2 = PQ2 + QR2,

Multiplying both sides by  3/4

(3/4)PR2 = (3/4)PQ2 + (3/4)QR2,

Area of E. triangle on hypotenuse, PR = Area of E. triangle on side PQ +  Area of E. triangle on side QR ]

Regards,

Team,

TopperLearning.

Answered by  | 31st Aug, 2009, 01:03: AM

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