A triangle is NOT said to be right – angled triangle if its sides measure:
1. 5 cm, 12 cm and 13 cm
2. 3 cm, 4 cm and 5 cm
3. 6 cm, 8 cm and 10 cm
4. 5 cm, 7 cm and 9 cm
1. 5 cm, 12 cm and 13 cm
2. 3 cm, 4 cm and 5 cm
3. 6 cm, 8 cm and 10 cm
4. 5 cm, 7 cm and 9 cm
Correct Answer – Option 4 : 5 cm, 7 cm and 9 cm
Ans: 4
Formula used:
(hypotenuse)2 = (base)2 + (height)2
Calculation:
This question will be solved by taking option
First we pick option 1
⇒ 52 + 122 = 25 + 144 = 169 = 132
∴ option 1 satisfies condition of right angle triangle.
Now we take option 2
⇒ 32 + 42 = 9 + 16 = 25 = 52
∴ option 2 also satisfies condition of right angle triangle.
Now we take option 3
⇒ 62 + 82 = 36 + 64 = 100 = 102
∴ option 3 also satisfies condition of right angle triangle.
Now we take option 4
⇒ 52 + 72 = 25 + 49 = 74 ≠ 92
∴ values of option 4 are not satisfying condition of right angle triangle.