Given: ​△ABC​ with side lengths a, b, and c, and height h Prove: ​Area=12absinC​

Triangle A B C has sides a b c. A vertical dashed line extends from angle B perpendicular to side b.

Drag and drop the statements into the boxes to correctly complete the proof.

Statement Reason
​△ABC​ with side lengths a, b, and c, and height h Given
​​Response area Triangle area formula
​​ ​sinC=ha​ Definition of sine
​​Response area Multiplication Property of Equality
Area=12basinC Substitution Property
​​Response area Commutative Property of Multiplication​