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. repeat for different triangles, what did you find?
choose the best response
a. m(∠a)<m(∠b)
b. m(∠a)>m(∠b)
c. m(∠a)=m(∠b)

Explanation:

Step1: Recall angle - side relationship in a triangle

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

Step2: Identify the sides and opposite angles

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

Step3: Determine the angle - measure relationship

Since the larger side is opposite the larger angle, if \(BC > AC\), then \(m(\angle A)>m(\angle B)\).

Answer:

B. \(m(\angle A)>m(\angle B)\)