If two sides of a right angled triangle are 5cm and 6cm long, how many possibilities are there for the length of the third side?
1 answer:
Answer:
The other side is either 7.81 cm or 3.32 cm.
Step-by-step explanation:
The two sides of a right triangle are 5 cm and 6 cm.
There are three different ways this can happen.
1. 5 cm and 6 cm are the two legs of the 90° angle and hence, the hypotenuse is the third side.
Now, applying Pythagoras Theorem,
Hypotenuse = cm.
2. Then one leg of the right angle is 6 cm and 5 cm is the hypotenuse.
But as 5 < 6, so, this is not possible as the length of the hypotenuse is more than the lengths of the legs.
3. 6 cm is the length of the hypotenuse and one leg is 5 cm.
The applying the Pythagoras Theorem, the length of the other leg will be given by cm. (Answer)
You might be interested in
The correct option is: Option (B) 
Explanation:
First thing is that the difference between each number in the series with the next number is 5. It means it must be the multiple of 5. There are two options that contain multiples of 5: Option B and Option D. Now in the option D, the upper limit is 6. If we put 6 in the expression: 5(6)-2, the last term would be 28. However in the series given in the question, the last term is 33. Hence 5(7) - 2 = 35 - 2 = 33 which is Option B.
When i=1: 5(1)-2 = 3
When i=2: 5(2)-2 = 8
When i=3: 5(3)-2 = 13
.
.
When i=7: 5(7)-2 = 35-2 = 33
Hence the correct option is (B).
Explanation:
First thing is that the difference between each number in the series with the next number is 5. It means it must be the multiple of 5. There are two options that contain multiples of 5: Option B and Option D. Now in the option D, the upper limit is 6. If we put 6 in the expression: 5(6)-2, the last term would be 28. However in the series given in the question, the last term is 33. Hence 5(7) - 2 = 35 - 2 = 33 which is Option B.
When i=1: 5(1)-2 = 3
When i=2: 5(2)-2 = 8
When i=3: 5(3)-2 = 13
.
.
When i=7: 5(7)-2 = 35-2 = 33
Hence the correct option is (B).