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Statement-1: lf the measures of two angl...

Statement-1: lf the measures of two angles of a triangle are 45 ° and 60 °, then the ratio of the smallest and the greatest sides are `(sqrt3-1) : 1`
Statement-2: The greatest side of a triangle is opposite to its greatest angle.

A

Statement-1 is True, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.

C

Statement-1 is True, Statement-2 is False.

D

Statement-1 is False, Statement- 2 is True.

Text Solution

Verified by Experts

Clearly, statement-2 is true.
If the measures of two angles of a triangle are 45 ° and 60°, then the measure of its third angle is 75°. Therefore, the ratio of the smallest and greatest sides are
`sin45^(@):sin75^(@)=1/(sqrt2):(sqrt3+1)/(2sqrt2)=2:sqrt3+1=sqrt3-1:1`
Thus, s1atement- 1 is true. Also, statement- 2 is a correct explanation for statement- 1.
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