38. The length of an altitude of an acute triangle is less than the length of either side containing the same vertex as the altitude.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 39E
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I am having trouble doing a two column proof for #38
onal of a
In Exercises 37 and 38, prove each theorem. nc
he sides
37. The length of the median from the vertex of an isosceles
triangle is less than the length of either of the legs.
38. The length of an altitude of an acute triangle is less than
the length of either side containing the same vertex as
the altitude.
39. The perimeter of a triangle cannot have a measure that is
twice the length of its longest side.
2 (HINT: Where a, b, and c are the lengths of the three sides
of the triangle, let c represent the length of the longest side.)
40. In isosceles AMNP, MN = MP. With point Q on MN,
13 MQ = QP = PN. Find mZM and mZN.
_XZY
14
Q
38 m m
M
15.
Transcribed Image Text:onal of a In Exercises 37 and 38, prove each theorem. nc he sides 37. The length of the median from the vertex of an isosceles triangle is less than the length of either of the legs. 38. The length of an altitude of an acute triangle is less than the length of either side containing the same vertex as the altitude. 39. The perimeter of a triangle cannot have a measure that is twice the length of its longest side. 2 (HINT: Where a, b, and c are the lengths of the three sides of the triangle, let c represent the length of the longest side.) 40. In isosceles AMNP, MN = MP. With point Q on MN, 13 MQ = QP = PN. Find mZM and mZN. _XZY 14 Q 38 m m M 15.
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