Question

#17) classify a triangle that has side lengths of 6m, 9m, and 14m
#18) classify a triangle that has angle measurements of 4ft, 12ft, and 20ft
equilateral equiangular - black
scalene right - yellow
scalene acute - brown
scalene obtuse - red
isosceles right - purple
isosceles acute - orange
isosceles obtuse - tan
what is the side and angle classification for each of the following triangles?
#12) △yeb
#13) △xby
#14) △xbc
#15) △ybd
#16) △bed

Explanation:

Step1: Determine triangle type by side lengths

A scalene triangle has all sides of different lengths. Given side lengths \(6m\), \(9m\), and \(14m\), since \(6
eq9
eq14\), it satisfies the condition of a scalene triangle.

Step2: Check for obtuse - right - acute using the Pythagorean theorem

Let \(a = 6\), \(b=9\), \(c = 14\) (where \(c\) is the longest side). Calculate \(a^{2}+b^{2}=6^{2}+9^{2}=36 + 81=117\) and \(c^{2}=14^{2}=196\). Since \(a^{2}+b^{2}

Answer:

Scalene Obtuse - Red