In AFGH, m_F= 65°, m_G = 55°, and m_H = 60° Which side of AFGH is
1 answer:
Answer:
D. FH
Step-by-step explanation:
Angle G is the smallest, so the side of the triangle opposite that angle will be the shortest. That is the side that does not contain G in its segment name:
FH is the shortest side . . . . choice D
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The attachment shows a triangle with these angle measures drawn to scale. You will note that FH is the shortest side.
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Please be aware that different instances of this question may have different angle measures, or may have answer choices in a different order. The thing to remember is that <em>the lengths of sides have the same ordering (least to greatest) that the angle measures do</em>.
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Answer:
M(x₄ ,y₄) = (-3.5 , 0.5) and
N (x₅ ,y₅) = ( -1 , -0.5 )
Step-by-step explanation:
Let the endpoint coordinates for the mid segment of △PQR that is parallel to PQ be
M(x₄ ,y₄) and N(x₅ ,y₅) such that MN || PQ
point P( x₁ , y₁) ≡ ( -3 ,3 )
point Q( x₂ , y₂) ≡ (2 , 1 )
point R( x₂ , y₂) ≡ (-4 , -2)
To Find:
M(x₄ ,y₄) = ? and
N (x₅ ,y₅) = ?
Solution:
We have Mid Point Formula as
As M is the mid point of PR and N is the mid point of RQ so we will have
Substituting the given value in above equation we get
∴
∴
Similarly,
∴
∴
∴ M(x₄ ,y₄) = (-3.5 , 0.5) and
N (x₅ ,y₅) = ( -1 , -0.5 )