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
△NQM and △NQP 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.

Given NQ is an altitude of MNP Prove sinMmsinPp Triangle M N P with point Q between points M and P A segment extends from point N to point Q creating right angl class=

Respuesta :

The Prove of sinMm=sinPp are:

  • Definition of a right triangle.
  • Sin M = h/p and sin P h/m.
  • Substitution property of equality.
  • Division property of Equality.

What is right triangle?

A triangle that is known to have only one of its interior angles to be 90° is known to be a right triangle.

Note that  sinMm=sinPp is said to be a right triangle as it has its longest side to be the right triangle and it follows the Substitution property of equality and Division property of Equality.

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