two equal sides of an isosceles triangle are is 2 cm more than 3 III if the perimeter of a triangle 73 cm find the length of its sides
Answers
✬ Third Side = 23 cm ✬
✬ Equal Sides = 25 cm ✬
Step-by-step explanation:
Given:
- Two sides of an isosceles triangle is 2 cm more than 3rd side.
- Perimeter of triangle is 73 cm.
To Find:
- What is the length of all sides of triangle ?
Solution: Let the measure of third side of isosceles triangle be x. Therefore,
➟ Length of other two sides = 2 cm more than x
- Two sides of an Isosceles triangle are equal to each other.
➟ Length of other two sides = (x + 2) cm
As we know that
★ Perimeter of ∆ = Sum of all sides ★
A/q
- 3st side = x cm
- 2nd and 1st side = (x + 2) cm
- Perimeter is 73 cm.
73 = x + x + 2 + x + 2
73 = 3x + 4
73 – 4 = 3x
69 = 3x
69/3 = x
23 = x
So, Measure of
➛ 3rd side is x = 23 cm
➛ Equal sides are x + 2 = 23 + 2 = 25 cm
____________________
★ Verification ★
➨ 73 = 25 + 25 + 23
➨ 73 = 50 + 23
➨ 73 = 73
Correct Question:
Two equal sides of an isosceles triangle are is 2 cm more than third side. If the perimeter of a triangle 73 cm find the length of it's sides.
Answer:
The length of the sides of isosceles triangle are 23 cm, 25 cm and 25 cm respectively.
Step-by-step explanation:
Perimeter of triangle = Sum of it's all sides
Assume that the third side of the triangle is x cm. Therefore, the other two sides are (x + 2) cm.
Perimeter of triangle = Sum of (first side + second side + third side)
Simply substitute the values,
→ 73 = (x + 2) + (x + 2) + x
→ 73 = x + 2 + x + 2 + x
→ 73 = 3x + 4
→ 73 - 4 = 3x
→ 71 = 3x
→ 69 = 3x
Divide by 3 on both sides,
→ 69/3 = 3x/3
→ 23 = x
Hence, the
- first side = x = 23 cm
- second side = x + 2 = 23 + 2 = 25 cm
- third side = x + 2 = 23 + 2 = 25 cm