Given: NQ¯¯¯¯¯¯ is an altitude of △MNP.
Prove: sinMm=sinPp
Triangle M N P with point Q between points M and P. A segment extends from point N to point Q creating right angle N Q P. Segment M N is labeled lowercase p. Segment N P is labeled lowercase m. Segment N Q is labeled lowercase h.
Drag and drop a statement or reason to each box to correctly complete the proof.
Statement Reason
NQ¯¯¯¯¯¯ is an altitude of △MNP. Given
∠NQM and ∠NQP are right angles. Response area
â–³NQM and â–³NQP are right triangles. Definition of right triangle
sinM=hp and sinP=hm Definition of sine ratio
Response area Multiplication Property of Equality
psinM=msinP Response area
Response area Division Property of Equality
sinMm=sinPp Simplify.
