Page 13.12

### EXERCISE 13.1

**Type 1**

#### QUESTION 1

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

Sol :

#### QUESTION 2

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

Sol :

#### QUESTION 3

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

Sol :

#### 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 :

#### QUESTION 5

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

Sol :

#### QUESTION 6

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

Sol :

#### QUESTION 7

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

Sol :

#### QUESTION 8

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

Sol :

#### QUESTION 9

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

Sol :

#### QUESTION 10

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

Sol :

#### QUESTION 11

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

Sol :

#### QUESTION 12

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

Sol :

#### QUESTION 13

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

Sol :

#### QUESTION 14

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

Sol :

#### QUESTION 15

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

Sol :

#### QUESTION 16

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

Sol :

#### QUESTION 17

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

Sol :