Question
Determine whether you can construct many, one, or no triangle(s) with each description.
a)An isosceles triangle with angle measures of 40° and 100°
b)A right triangle with three congruent sides
c)A scalene triangle with side lengths of 7 cm, 3 cm, and 9 cm
a)An isosceles triangle with angle measures of 40° and 100°
b)A right triangle with three congruent sides
c)A scalene triangle with side lengths of 7 cm, 3 cm, and 9 cm
Answers
(a) yes, since 40+40+100 = 180
(b) no, since c^2 = a^2+b^2
(c) yes. Use 9 for the base. The other two sides sum to 10, so to make them fit, you have to lift up the vertex to form a triangle.
(b) no, since c^2 = a^2+b^2
(c) yes. Use 9 for the base. The other two sides sum to 10, so to make them fit, you have to lift up the vertex to form a triangle.
So Can you form one triangle or two triangles for number a) and b)
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