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Triangles

Short Answer Type

241. In Fig. DE || BC and $space AD over DB equals 3 over 5.$ If AC = 4.8 cm, find the length of AE.

∵ In triangle ABC, DE || BC
∴ By Basic Proportionality Theorem
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$open square brackets because space EC equals AC minus AE equals 4.8 minus AE close square brackets$
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Ans.

652 Views

242. E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Show that ∆ABE ~ ∆CFB.

862 Views

243.

In the given fig., $PS over SQ equals PT over TR$ and ∠PST = ∠PRQ. Prove that ∆PQR is an isosceles triangle.

219 Views

244.

In the given fig, ∆ABD is a right triangle, right angled at A and AC ⊥ BD. Prove that AB² = BC. BD.

201 Views

245.

In the given fig, AB || DC. Find the value of x.

1047 Views

246.

In the given fig, express x in terms of a, b and c.

2955 Views

247.

In the given fig, $OA over OC equals OD over OB.$ Prove that ∠A = ∠C and ∠B = ∠D.

82 Views

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.

1489 Views