Question

The base of an isosceles triangle is 3 cm and its perimeter is 17 cm. Length of each of its equal side is:
5cm
14cm
none of these
7cm
​

Answer 1

✬ Equal Sides = 7 cm ✬

Step-by-step explanation:

Given:

• Measure of base of an isosceles triangle is 17 cm.
• Perimeter of triangle is 17 cm.

To Find:

• What is the length of each equal sides ?

Solution: Let the length of each equal sides be x cm.

[ Because in an isosceles triangle two sides are equal to each other ]

As we know that,

★ Perimeter of ∆ = Sum of all sides ★

A/q

• Perimeter is 17 cm

$\implies{\rm }$ 17 = Sum of all sides

$\implies{\rm }$ 17 = x + x + 3

$\implies{\rm }$ 17 – 3 = 2x

$\implies{\rm }$ 14 = 2x

$\implies{\rm }$ 14/2 = x

$\implies{\rm }$ 7 = x

Hence, the length of each equal sides of isosceles triangle is of 7 cm. { Option D}

_________________

• There are three types of triangle on the basis of sides : Scalene , Isosceles , Equilateral triangle.

• Scalene : All sides are unequal.

• Isosceles : Opposite sides are equal.

• Equilateral : All sides are equal.

Answer 2

☞ What is Given?

• The base of an isosceles triangle is 3 cm.

• Its Perimeter is 17 cm.

☞ What we need to Find?

• Length Of Each Equal Sides.

☞ Solution :-

Let the First side be x cm.

So, The Another Side Will be x + 3 cm.

❐ Perimeter Of ∆ = Sum Of All Sides. ❐

So, The Equation Formed :-

x + x + 3 = 17.

⇢ 2x + 3 = 17.

⇢ 2x = 17 - 3.

⇢ 2x = 14.

⇢ x = 14/2.

⇢ x = 7cm.

So, Your Answer is Option [D] 7cm.