Question

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Answer 1

Angle C

Explanation:

By applying sine rule in the given triangle,

`\frac{\text{sinB}}{CD}=\frac{\text{sinC}}{BD}=\frac{\text{sinD}}{BC}`

`\frac{\text{sinB}}{\text{sinC}}=\frac{\text{CD}}{\text{BD}}`

Therefore, sides of the given triangle will be in the same ratio as the sine of the angles.

Since, BD > BC > CD

Therefore, Opposite angles of these sides will be in the same ratio.

∠C > ∠D > ∠B

Largest angle of the triangle is angle C.