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Question 15 Marks
Ankita took part in a Rangoli Competition. She made a beautiful Rangoli in the shape of a triangle ABC as shown. In the triangle, P, Q and R are mid-points of the sides AB, BC and CA respectively. She decorated it by putting a garland along the sides of Delta*PQR The lengths of the sides of the triangle are AB = 20 cm, BC = 26 cm and AC = 24 cm.
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Based on the above information, answer the following questions :
Q.1. The length of AP is :
(a) QB (b) QR (c) AR (d) RP
Q.2. The length of PQ is :
(a) 12 cm (b) 13 cm (c) 10 cm (d) 15 cm
Q.3. The length of the garland is :
(a) 30 cm (b) 32 cm (c) 35 cm (d) 40 cm
Q.4. Area of $\triangle PQR$ is :
(a) area of $\triangle ABC$ (b) $\frac{1}{2}$ area of $\triangle ABC$ (c) $\frac{1}{3}$ area of $\triangle ABC$ (d) $\frac{1}{4}$ area of $\triangle ABC$
Q.5. APQR is a :
(a) rectangle (b) parallelogram (c) square (d) rhombus
Answer
1. (b) 2. (a) 3. (c) 4. (d) 5. (b)
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Question 25 Marks
Image
Case Study : Ankita took part in a Rangoli Competition. She made a beautiful Rangoli in the shape of a triangle ABC as shown. In the triangle, $P, Q$ and $R$ are mid-points of the sides $A B, B C$ and $C A$ respectively. She decorated it by putting a garland along the sides of $\triangle PQR$. The lengths of the sides of the triangle are $AB =20 cm, BC$ $=26 cm$ and $AC =24 cm$.
Based on the above information, answer the following questions:
Based on the above information, answer the following questions:
1. The length of AP is :
(a) QB
(b) QR
(c) $A R$
(d) RP
2. The length of $P Q$ is :
(a) 12 cm
(b) 13 cm
(c) 10 cm
(d) 15 cm
3. The length of the garland is :
(a) 30 cm
(b) 32 cm
(c) 35 cm
(d) 40 cm
4. Area of $\triangle PQR$ is :
(a) area of $\triangle ABC$
(b) $\frac{1}{2}$ area of $\triangle ABC$
(c) $\frac{1}{3}$ area of $\triangle ABC$
(d) $\frac{1}{4}$ area of $\triangle ABC$
5. APQR is a :
(a) rectangle
(b) parallelogram
(c) square
(d) rhombus
Answer
(1. b), (2. a) (3. c), (4. d), (5. b)
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[5 marks sum] - MATHEMATICS STD 9 Questions - Vidyadip