KC Sinha Mathematics Solution Class 9 Chapter 13 Geometrical Constructions exercise 13.1

Page 13.12

EXERCISE 13.1

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Type 1

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QUESTION 1

Construct a ΔABC in which ∠B=60° , BC=6.7cm and AB+AC=10cm
Sol :

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QUESTION 2

Construct a ΔABC in which ∠A=60° , AC=7.5cm and AB+BC=11cm
Sol :

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QUESTION 3

Construct a ΔABC in which BC=5.8cm , ∠C=30° b-c=2cm
Sol :

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QUESTION 4

Construct a ΔABC in which a=6.5cm and b-c=1.5cm , ∠B=60° . Write the values of b and c
Sol :

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QUESTION 5

Construct a ΔABC in which BC=7cm , ∠B=60° and AC-AB=2cm
Sol :

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QUESTION 6

Construct a ΔABC in which a=6cm , c-b=1.2cm , ∠C=60° . Write the value of b.
Sol :

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QUESTION 7

Construct a right angled ΔABC whose hypotenuse AC=5.2cm and sum of the remaining two sides in 7.2cm
Sol :

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QUESTION 8

Construct a right angled ΔABC whose hypotenuse is 8.5cm and difference of other two sides is 7.2cm
Sol :

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QUESTION 9

Construct a ΔABC in which a+b+c=12cm , ∠B=75° and ∠C=60°
Sol :

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QUESTION 10

Construct a triangle whose perimeter is 10.cm and base angles are 60° and 45° respectively 
Sol :

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QUESTION 11

Construct a right angled triangle whose perimeter is 10.5cm and one acute angle is 60°
Sol :

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QUESTION 12

Construct a triangle ABC in which BC=7cm, AB=6cm , median AD=5cm
Sol :

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QUESTION 13

Construct a ΔABC in which AB=8cm , AC=6cm and median CF=5cm
Sol :

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QUESTION 14

Construct a ΔABC in which BC=5.8cm , AC=8cm and median BE=4.6cm
Sol :

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QUESTION 15

Construct a ΔABC in which BC=5cm , median BE=4.5cm and median CF=5.4cm
Sol :

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QUESTION 16

Construct a triangle ABC in which median AD=6.6cm , BE=6cm and CF=6cm
Sol :

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QUESTION 17

Construct an equilateral triangle having length of perpendicular from opposite vertex (altitude) 4.5cm
Sol :

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