In ΔABC, D is a point on AB and E on AC with DE ∥ BC

MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles

Problem

In ΔABC, D is a point on AB and E on AC with DE ∥ BC. Given AD = 9 cm, AB = 15 cm and AC = 18 cm. A second line FG through A is drawn parallel to DE, meeting AB at F and AC at G. If AF = 6 cm, calculate AG. (a) 7.2 cm7.2\text{ cm} (b) 6 cm6\text{ cm} (c) 10.8 cm10.8\text{ cm} (d) 9 cm9\text{ cm}

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