Question

2. a) Draw a triangle of sides 6 cm. 5 cm and 4 cm b) Draw an isosceles triangle of same area​

Answer 1

OK I draw the triangle

.ok

Answer 2

Answer:

Let equal sides be (a)=5cm and base (b)=?

Area of an isosceles triangle=12sq.cm

Area of an isosceles triangle=

4

b

4a

2

−b

2

12=

4

b

4×(5)

2

−b

2

48=b

100−b

2

Squaring both sides

2304=b

2

(100−b

2

)

or b

4

−100b

2

+2304=0

or b

4

−64b

2

−36b

2

+2304=0

or b

2

(b

2

−64)−36(b

2

−64)=0

or (b

2

−64)(b

2

−36)=0

either (b

2

−64)=0⇒b

2

=64⇒b=±8

or (b

2

−36)=0⇒b

2

=36⇒b=±6

Hence base=8cm, or 6cm.