Question

The base of an isosceles triangle whose area is 12 cm2 and one of the equal sides is 5 cm is ​

Answer 1

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

Area of an isosceles triangle=12sq.cm.

* stands for multiplication

Area of an isosceles triangle = b/4√4a²-b²

12 = b/4 √4*5²-b²

12*4 = b√100- b²

squaring on both sides

2304= b²(100-b²)

or b⁴-100b²+2304 =0

b⁴−64b² −36b² +2304=0

b² (b² −64)−36(b² −64)=0

(b² −64)(b²−36)=0

either (b² −64)=0⇒b² =64⇒b= ±8

or (b² −36)=0⇒b² =36⇒b=±6

Hence base =8 or 6

Plz mrk as brainlist

Answer 2

Answer:

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