Question

each side of an isosceles triangle is 15 cm and perimeter of the triangle is 50cm.Find the third side​

Answer 1

Answer:

Third side (or base)= 20 cm

Hope it helps

Step-by-step explanation:

Perimeter= a+b+c

50 cm= 15 cm + 15 cm + c (Consider c as the base of the isosceles triangle)

50-15=15+c

35=15+c

35-15=c

20=c

Answer 2

✬ Third side = 20 cm ✬

Step-by-step explanation:

Given:

Each side of isosceles triangle is of 15 cm.

Perimeter of triangle is 50 cm.

To Find:

What is the length of third side ?

Solution:

Let the length of third side of isosceles triangle be x cm.

As we know that in an isosceles triangle two sides are equal to each other.

Therefore length of all three sides will be

• 1st side = 15 cm
• 2nd side = 15 cm
• 3rd side = x cm

★ Perimeter of ∆ = Sum of all sides ★

Perimeter is 50 cm

$\implies{\rm }⟹ 50 = 15 + 15 + x \\ </p><p></p><p>\implies{\rm }⟹ 50 = 30 + x \\ </p><p></p><p>\implies{\rm }⟹ 50 – 30 = x \\ </p><p></p><p>\implies{\rm }⟹ 20 = x \\ </p><p>$

Hence, length of third sides of triangle is 20 cm.

[ Verification ]

➟ 50 = Sum of all sides

➟ 50 = 15 + 15 + 20

➟ 50 = 50

$\large\bold{\texttt {Verified }}$