Mathematics
Assertion (A): In a right angled triangle, the longest side is called hypotenuse and the other two sides are called its legs. Also, the sum of lengths of legs is less than the length of the hypotenuse.
Reason (R): In a right angled triangle, the side opposite to the right angle is called its hypotenuse.
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false.
Answer
In a right angled triangle, the longest side is called hypotenuse and the other two sides are called its legs. Also, the sum of any two sides is always greater than the third side.
∴ Assertion (A) is false.
In a right angled triangle, the side opposite to the right angle is called its hypotenuse.
∴ Reason (R) is true.
Hence, Option 2 is the correct option.
Related Questions
An aeroplane (P) leaves an Airport (A) and flies towards north at 400 km/h. At the same time another aeroplane (Q) leaves the same airport and flies towards west at 300 km/h.
Based on this information, answer the following questions:
Distance covered by aeroplane P in 1.5 hours is :
(a) 600 km
(b) 650 km
(c) 700 km
(d) 800 kmDistance covered by aeroplane Q in 1.5 hours is :
(a) 600 km
(b) 550 km
(c) 500 km
(d) 450 kmThe distance between the two aeroplanes after a certain period of time is represented by the line segment :
(a) AP
(b) AQ
(c) PQ
(d) ASAfter 1.5 hours, which aeroplane travelled longer distance and by how much?
(a) P, 150 km
(b) Q, 150 km
(c) P, 600 km
(d) Q, 450 kmAfter 1.5 hours, the distance between the two aeroplanes is :
(a) 600 km
(b) 650 km
(c) 700 km
(d) 750 km
Assertion (A): In the figure, △ ABC is right angled at B.
Reason (R): In a right angled triangle, the square on the hypotenuse is equal to the sum of the other two sides.
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false.
The hypotenuse of a right triangle is 25 cm. If out of the two legs, one is longer than the other by 5 cm, then the sum of the lengths of the legs is:
30 cm
35 cm
40 cm
45 cm
An aeroplane leaves an airport and flies due North at 300 km/h. At the same time, another plane leaves the same airport and flies due West at 400 km/h. After 90 minutes, the distance between the two planes would be:
1000 km
900 km
800 km
750 km