Mathematics

Mathematics

Problem

In triangle ABCABC, points DD and EE are on ABAB and ACAC respectively with DE∥BCDE \parallel BC. Point PP is on ADAD and point QQ is on AEAE such that PQ∥DEPQ \parallel DE. Given AB=24 cmAB = 24\,\text{cm}, AC=30 cmAC = 30\,\text{cm}, AD=10 cmAD = 10\,\text{cm} and AP=4 cmAP = 4\,\text{cm}, find the length of AQAQ. a) 4 cm4\text{ cm} b) 6 cm6\text{ cm} c) 5 cm5\text{ cm} d) 4.8 cm4.8\text{ cm}

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