| Assertion (A): In a right angled triangle, if \[\tan \theta =\frac{3}{4},\] the greatest side of the triangle is 5 units. |
| Reason (R): \[{{\text{(greatest side})}^{2}}=\]\[{{(\text{hypotenuse})}^{\text{2}}}={{(\text{perpendicular})}^{\text{2}}}+{{(\text{base})}^{2}}\] |
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: A
Solution :
[a] Greatest side =\[\sqrt{{{(3)}^{2}}+{{(4)}^{2}}}=5\]units
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