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12. In the adjoining figure, the lines 1, m and n are parallel to each other, and G is mid-pointof CD. Calculate:(1) BG if AD = 6 cm(2) CF if GE = 2.3 cm(3) AB if BC = 2.4 cm(4) ED if FD = 4.4 cm. |
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Answer» Given : the lines I, m and n are parallel to each other, and G is mid- point of CD To FIND : Calculate: (1) BG if AD = 6 cm (ii) CF if GE = 2.3 cm (iii) AB if BC = 2.4 cm (iv) ED if FD = 4.4 cm. Solution: l || m || n => BG || AD in ΔCAD , BG || AD => B is also midpoint as G is mid point ( Using BPT) AB = BC => AB = 2.4 cm line joining the mid-point of two SIDES of a TRIANGLE is equal to half the length of the third side => BG = AD/2 => BG = 6/2 => BG = 3 cm Similarly GE || CF => E is also midpoint as G is mid point ( Using BPT) ED = FD => ED = 4.4 cm Hence GE = CF/2 => 2.3 = CF/2 => CF = 4.6 cm Learn More: थेल्स प्रमेय(BPT) का कथन लिखकर उसे ... If a line intersects sides AB and AC of a triangle ABC at D and E ... |
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