Q5)ਇੱਕ ਤ੍ਰਿਭੁਜ ਵਿੱਚ ਸੱਭ ਤੋਂ ਵੱਡੀ ਭੁਜਾ ਸੱਭ ਤੋ ਛੋਟੀ ਭੁਜਾ ਤੋ ਦੁਗਣੀ ਹੈ ਅਤੇ ਤੀਸਰੀ ਭੁਜਾ ਸੱਭ ਤੋ ਛੋਟੀ ਭੁਜਾ ਤੋ 3 ਸਮ ਜਿਆਦਾ ਹੈ।ਜੇਕਰ ਤ੍ਰਿਭੁਜ ਦਾ ਪਰਿਮਾਪ 203 ਸਮ ਤੋਂ ਜਿਆਦਾ ਜਾਂ ਬਰਾਬਰ ਹੈ ਤਾਂ ਛੋਟੀ ਭੁਜਾ ਦੀ ਘੱਟੋ ਘੱਟ ਲੰਬਾਈ ਹੋਵੇਗੀ:The longest side of a triangle is twice the shortest side and third side is 3 cm longer than shortest side. If perimeter of triangle is more than or equal to 203 cm then minimum length of the shortest side is: *
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Answer:
If the perimeter of the triangle is more than 166 cm, then find the minimum length of the shortest side. Let the length of shortest side be x cm. Hence, the minimum length of shortest side be 41 cm.
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Minimum length of the shortest side is 50 cm if The longest side of a triangle is twice the shortest side and third side is 3 cm longer than shortest side and perimeter of triangle is more than or equal to 203 cm
Given:
- A triangle
- The longest side of a triangle is twice the shortest side
- Third side is 3 cm longer than shortest side
- Perimeter is more than or equal to 203 cm
To Find:
- Minimum length of the shortest side
Solution:
- Perimeter of a triangle is sum of lengths of all three sides of the triangle.
Step 1:
Assume that Shortest side is x cm
Then Longest sides = 2x cm
and Third side = x + 3 cm
Step 2:
Perimeter of more than or equal to 203 cm
x + 2x + x + 3 ≥ 203
=> 4x ≥ 200
=> x ≥ 50
Hence, minimum length of the shortest side is 50 cm
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