241.In Fig. DE || BC and If AC = 4.8 cm, find the length of AE.
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242.E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Show that ∆ABE ~ ∆CFB.
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243.
In the given fig., and ∠PST = ∠PRQ. Prove that ∆PQR is an isosceles triangle.
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244.
In the given fig, ∆ABD is a right triangle, right angled at A and AC ⊥ BD. Prove that AB2 = BC. BD.
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245.
In the given fig, AB || DC. Find the value of x.
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246.
In the given fig, express x in terms of a, b and c.
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247.
In the given fig, Prove that ∠A = ∠C and ∠B = ∠D.
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Long Answer Type
248.The diagonal BD of a parallelogram ABCD intersects the segment AE at the point F, where E is any point on the side BC. Prove that DF × EF = FB × FA.
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Short Answer Type
249.In a ∠ABC, BD and CE are the altitudes. Prove that ∠ADB and ∠AEC are similar. Is ∆CDB ~ ∆BEC?
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250.The perimeters of two similar triangles ABC and PQR are respectively 36 cm and 24 cm. If PQ = 10 cm, find AB.
Short Answer Type
Long Answer Type
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