Question

drag vertices b and c of the triangle. then, conjecture about the relationship between angle measures and side lengths in a triangle. if the angle measure is the largest of the triangle, what do you know about the side opposite? it is the length. if a side is the shortest of the triangle, what do you know about the angle opposite that side? it is the degree measure. m∠bac = 74° bc = 60 units m∠bca = 53° ab = 50 units m∠cba = 53° ac = 50 units

Explanation:

The problem relates to the Angle-Side Relationship in triangles: the largest angle is opposite the longest side, and the shortest side is opposite the smallest angle. From the given triangle, ∠BAC (74°) is the largest angle, opposite side BC (60 units, the longest side). A shortest side would correspond to the smallest opposite angle.

Answer:

largest
smallest