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In , point lies on . Suppose and . Given , and , find the length of…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem In △ A B C \triangle ABC △ A B C , point D D D lies on A B AB A B . Suppose ∠ A C D = ∠ D B C \angle ACD = \angle DBC ∠ A C D = ∠ D B C and ∠ A D C = ∠ D C B \angle ADC = \angle DCB ∠ A D C = ∠ D C B . Given A D = 10 cm AD = 10\,\text{cm} A D = 10 cm , B D = 9 cm BD = 9\,\text{cm} B D = 9 cm and D C = 6 cm DC = 6\,\text{cm} D C = 6 cm , find the length of B C BC B C .
(a) 7.5 cm 7.5\,\text{cm} 7.5 cm
(b) 5.4 cm 5.4\,\text{cm} 5.4 cm
(c) 3.6 cm 3.6\,\text{cm} 3.6 cm
(d) 6.4 cm 6.4\,\text{cm} 6.4 cm
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