Given: △abc with side lengths a, b, and c, and height h

prove: area=1/2 ab sin c

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
: triangle area formula
: definition of sine
asinc=h: multiplication property of equality
area=1/2 ba sin c: substitution property
: commutative property of multiplication

options
area = 1/2 ab sin c
area = 1/2 bh
area = 1/2 ah
sin c = h/a
sin c = h/b