Question

the perimeter of an isosceles triangle X cm long equal side and 3 cm the third side is 14cm find the length of equal sides

Answer 1

Correct Question:

The perimeter of an isosceles triangle 14 cm. equal sides are x cm long and the third side is 3cm long. Find the length of equal sides.

Answer:

5.5 cm is the length of the equal sides.

Explanation:

The perimeter of the isosceles triangle = 14cm

The length of the third side of the triangle = 3cm

The length of the equal side of the triangle = x

Here, we are assuming the length of equal side of the triangle be "x", as both sides are equal the second equal side will also be equal to "x"

Perimeter of a triangle = Sum of all sides

Perimeter of the triangle = x + x + 3cm

⟹ 14cm = x + x + 3cm

⟹ 14cm = 2x + 3cm

⟹ 14cm - 3cm = 2x

⟹ ( 14 - 3)cm = 2x

⟹ 11cm = 2x

⟹ 11cm/2 = x

⟹ 5.5 cm = x

The length of both equal sides = x = 5.5 cm.

Double check:

Perimeter of a triangle = Sum of all sides

14cm = x + x + 3cm

( Substitute in 5.5cm in place of x )

14cm = 5.5cm + 5.5cm + 3cm

14cm = 14cm

LHS = RHS

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