| Assertion (A): In the \[\Delta ABC,\] \[\text{AB}=\text{24 cm,}\] \[\text{BC}=\text{1}0\text{ cm}\] and \[\text{AC}=\text{26cm},\]then \[\Delta ABC\]is a right angle triangle. |
| Reason (R): If in two triangles, their corresponding angles are equal, then the triangles are similar. |
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: B
Solution :
| [b] Both assertion and reason are true but reason is not the correct explanation of assertion. |
| We have, |
| \[A{{B}^{2}}+B{{C}^{2}}={{(24)}^{2}}+{{(10)}^{2}}=576+100=676=A{{C}^{2}}\]\[A{{B}^{2}}+B{{C}^{2}}=A{{C}^{2}}\] |
| ABC is a right angled triangle. |
| Also, two triangles are similar if their corresponding angles are equal. |
| So, both assertion and reason are correct but reason is not correct explanation of assertion. |
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