Question

Which dimensions can create more than one triangle? A.three angles measuring 25, 65, and 90 B.three angles measuring 50, 50, and 50 C.three sides measuring 5 in., 12 in., and 13 in. D.three sides measuring 4 ft, 8 ft, and 10 ft

Answer 1

A because it equals up to 180

Explanation:

Answer 2

A. three angles measuring 25, 65, and 90

Explanation:

For any triangle to be formed, the sum of angles must be 180° and the lengths of the sides must satisfy the triangle inequality (the sum of the two shortest sides is at least the length of the longest side).

A triangle can be formed only by selections A, C, and D. The triangles formed by the specification of 3 sides are unique. (That is why we can have SSS congruence.) So selections C and D will not form more than one triangle.

The triangle formed by three given angles (and no given side) will not be unique. (That is why we cannot have AAA congruence; only AAA similarity.) Many different triangles can be formed having these angles.

The appropriate choice is selection A.