a given a triangle with sideangleside measurements of 6cm 60

a) given a triangle with side-angle-side measurements of 6cm, 60 degrees and 4cm, respectively. are all triangles with these same measurements congruent to the given triangle? why?

b) given a triangle with two angle measures of 60 degrees. are all triangles with these angle measurements congruent? why?

Solution

Solution:

(a)

Yess

all triangles with these same measurements are congruent to the given triangle

The Side Angle Side postulate ( SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

(b)

No

all triangles with these angle measurements are not congruent

Because any triangle can be made with having same two angle 60 with different dimension.

example a triangles have sides 10 , 10 ,and 10 and other triangle 5 5 and 5 . but both triangle have same angle 60 but not congruent