Question

Match the given conditions to the number of triangles that can be constructed from them. The lengths of the three sides are 4 centimeters, 2 centimeters, and 7 centimeters. The measures of two angles are 30° and 60° and the length of the included side is 12 inches. The measures of the three angles are 45°, 75°, and 60°. Number of Triangles Given Conditions 0 1 infinitely many

Answer 1

Look below

Explanation:

sooooo,

0 matches with 4,2, and 7 centimeters.

1 matches with 30, 60, and 12

infinitely many matches with 45, 75, and 60!

I got it right so i hope this helps!! (:

Answer 2

See below

Explanation:

No. of ∆s Conditions

0 Sides 4 cm, 2 cm, 7 cm

1 ASA = 30°, 12 in, 30 cm

∞ Angles 25°, 75°, 60 °

Reasons:

0 — The two shorter sides are not long enough to meet and form a triangle

1 — The two angles and the included side define a single triangle. The two angles define a single point at which their opposite sides will meet.

∞ — The three angles define the shape of the triangle but not its size. You can dilate the triangle to a larger or smaller size and still have the same angles.