Question

in an isocelies triangle third saids is double of the both side three there perimeter is 30 so the sides are​

Answer 1

Correct question :

• In an isosceles triangle two equal sides are twice of the third side and perimeter is 30cm.

Solution :

Suppose ABC is the required triangle in which

• AB = AC

Let

• BC = x

Then

• AB = AC = 2x

Here

• Perimeter of the isosceles triangle is 30cm

As we know that

• Perimeter of a triangle is sum of all sides

According to question :-

→ Perimeter of the triangle = AB + AC + BC

→ Perimeter of the triangle = 2x + 2x + x

→ 30 = 2x + 2x + x

→ 30 = 5x

→ x = 30/5

→ x = 6

Now

• BC = x = 6cm
• AB = AC = 2x = 2 × 6 = 12cm

Hence, the all sides of the triangle are 12cm , 12cm and 6cm.

Answer 2

Correct Question

• In an isosceles triangle, third side is twice the other two equal sides. If the perimeter of triangle is 30cm, then the sides are.

⠀

Given

• ABC is an isosceles triangle.
• AB = AC
• Perimeter of triangle = 30cm

⠀

To find

• The all three sides.

⠀

Solution

• Let the side BC be x.

Then,

→ AB = AC = 2x

⠀

We know that,

$\small{\orange{\boxed{\tt{\purple{Perimeter_{(Triangle)} = Measures\: of\: all\: three\: sides}}}}}$

⠀

According to the question

$\tt:\implies\: \: \: \: \: \: \: \: {Perimeter = AB + BC + AC}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {30 = x + 2x + 2x}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {5x = 30}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {x = \cancel{\dfrac{30}{5}}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {x = 6}$

⠀

Hence, all the sides are

• BC = x = 6cm
• AC = 2x = 2 × 6 = 12cm
• AB = AC = 12cm

━━━━━━━━━━━━━━━━━━━━━━