Question

for parts a and b construct the given triangle and choose the best response. a use any tool to draw triangle abc in which bc is greater than ac. measure the angles opposite bc and ac. compare the angle measures you find? choose the best response a. m(∠a)<m(∠b) b. m(∠a)>m(∠b) c. m(∠a)=m(∠b) b. based on your finding in (a), make a conjecture concerning the lengths of sides and the measures of angles of a triangle choose the best response the side of lesser length is opposite the angle of greater measure the side of greater length is opposite the angle of greater measure

Explanation:

Step1: Recall triangle - angle - side relationship

In a triangle, the larger side is opposite the larger angle.

Step2: Identify opposite angles

In \(\triangle ABC\), side \(BC\) is opposite \(\angle A\) and side \(AC\) is opposite \(\angle B\). Given \(BC>AC\), so \(m(\angle A)>m(\angle B)\).

Step3: Make a conjecture

Based on the above - mentioned property, the side of greater length is opposite the angle of greater measure.

Answer:

a. B. \(m(\angle A)>m(\angle B)\)
b. The side of greater length is opposite the angle of greater measure