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Triangles

Multiple Choice Questions

471.

In the fig, if AB || DC, then the values of x is

8,9
10,9
11,9
11,9

129 Views

472. D, E and F are mid-points of the sides AB, BC and CA respectively of ∆ABC. The ratio of

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4:1
1 : 4
3 : 4
3 : 4

105 Views

473. The areas of two similar triangles are 121 cm² and 64 cm² respectively. If the median of the first triangle is 12.1 cm, the corresponding median of the other is

9.9 cm
10.2 cm
8.8 cm
8.8 cm

2214 Views

474.

In the given Fig. PQ = 24 cm, QR = 26 cm, ∠PAR = 90°, PA = 6 cm and AR = 8 cm. The value of ∠QPR is

70°
60°
90°
90°

198 Views

475.

In the given Fig, DE || BC and AD : DB = 2 : 3. The ratio of $space fraction numerator ar left parenthesis increment ADE right parenthesis over denominator ar left parenthesis increment ABC right parenthesis end fraction$ is

25:4
4:25
4 : 9
4 : 9

126 Views

476. The areas of two similar triangles are 81 cm² and 49 cm² respecitvely. If the altitude of the first triangle is 6.3 cm then the corresponding altitude of the other is

4.9 cm
9.4 cm
49 cm
49 cm

361 Views

477. A ladder is placed in such a way that its foot is at a distance of 5 m from a wall and its tip reaches a window 12 m above the ground. The length of the ladder is

14 cm
13 cm
15 cm
15 cm

96 Views

478. In the given Fig, XY || BC. The length of XY is

4 cm
6.5 cm
3 cm
3 cm

124 Views

Short Answer Type

479. If two isosceles triangles have a common base, the line joining their vertices bisects the common base at right angles. Prove.

2494 Views

480. A point O is taken inside an equilateral four-sided figure ABCD such that its distances from the angular points D and B are equal. Show that AO and OC are in one and the same straight line.

Similarly, ∆DOC ≅ ∆BOC
∠3 = ∠4 | C.P.C.T.
But, ∠1 + ∠2 + ∠3 + ∠4 = 360°
| ∵ Sum of all the angles round a point = 360°
⇒ 2∠2 + 2∠3 = 360°
| ∵ ∠1 = ∠2 and ∠3 = ∠4
⇒ ∠2 + ∠3 = 180°
⇒ AO and OC are in one and the same straight line. | Linear Pair Axiom

611 Views