Question

each of the 2 equal sides of an iscoles triangle is twice as large as the third side if the perimeter of triangle is 30 cm then find the length of the triangle ​

Answer 1

Let an isosceles triangle have equal sides in length of 2x cm

So, x cm be the third side of the triangle

Perimeter of the triangle =30 cm

⇒ x+2x+2x=30

⇒ 5x=30

⇒ x=

5

30

⇒ x=6

Therefore, the required sides of the isosceles triangle are 6,12 and 12 cm

Answer 2

Answer:

The sides of isoceles △ are : 12cm (each equal sides) and 6cm (third unequal side)

Step-by-step explanation:

Given that,

• The length of two equal sides of an isoceles △ is twice the third side.
• The perimeter of the △ 30cm.

Here, two equal sides are twice than the third side of the isoceles △.

Let's consider :

→ The third side = "x"

→ Other two sides will be = "2x" each.

★ According to the question :

→ Perimeter of an isoceles △ is given by : 2a + b

Here,

• "a" represents the two equal sides i.e., "2x" and "b" is the third side "x"
• Perimeter is 30cm (given)

So,

→ 30 = 2(2x) + x

→ 30 = 4x + x

→ 30 = 5x

→ 30/5 = x

→ x = 6cm.

Therefore, the value of "x" is 6cm.

Hence, the all sides of the △ is :

→ 2x = 12cm

→ 2x = 12cm.

→ x = 6cm.

Note behind :

• An isoceles △ has two equal sides and an unequal side.