| Assertion (A): If the sides of a triangle are \[\text{3 cm},\] \[\text{4 cm},\] and \[\text{6 cm},\] long, then the triangle is a right angled triangle. |
| Reason (R): In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. |
A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
B) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
C) Assertion (A) is true but reason (R) is false.
D) Assertion (A) is false but reason (R) is true.
Correct Answer: D
Solution :
| [d] Clearly, reason is true as it is Pythagoras theorem. |
| Now, Let \[a=3cm,\] \[b=4cm\] and \[c=6cm\] |
| The largest side is \[c=6cm.\] |
| \[{{a}^{2}}+{{b}^{2}}={{3}^{2}}+{{4}^{2}}=9+16=25={{5}^{2}}\ne {{c}^{2}}\] |
| \[\therefore \] The given sides are not of a right angled triangle. |
| \[\therefore \] Assertion: False; Reason: True. |
You need to login to perform this action.
You will be redirected in
3 sec
