Question

THE BASE OF AN ISOCELES TRIANGLE IS 6 CM AND IT'S PARAMETER IS 16 CM. LENGTH OF EACH OF THE EQUAL SIDE IS

Answer 1

Given :-

• Base = 6cm
• Perimeter = 16cm

To Prove:-

• Length = ?

Formula :-

• Perimeter = a + b + c

Solution:-

Let Length be 'x'

Substitute Given data in Formula

$\bigstar \: \frak{Perimeter = a + b + c} \\ \\ \longmapsto \frak{16 = x + x + 6} \\ \\ \longmapsto \frak{16 = 2x + 6} \\ \\ \longmapsto \frak{16 - 6 = 2x} \\ \\ \longmapsto \frak{10 = 2x} \\ \\ \longmapsto \frak{x = \dfrac{10}{2} } \\ \\ \longmapsto \boxed{ \underline{ \frak{ \pink{x = 5cm}}}}$

Answer 2

Answer :

• Length of each equal side is 5 cm.

Explanation :

Given :

• Base = 6 cm
• Perimeter = 16 cm

According to the question,

• It is clear that, both our sides are equal.

Let,

• Both the unknown sides be 's'

Finding Perimeter :

⟶ Perimeter of a triangle = a + b + c (sum of all three sides)

⟶ 16 = 6 + s + s

⟶ 16 = 6 + 2s

⟶ 2s = 16 - 6

⟶ 2s = 10

⟶ s = 10 / 2

⟶ s = 5

• The length of each equal side is 5 cm.