Question

visualize it! sketch a triangle and label it with the given angle measures and side lengths.

1. angles: 59°, 46°, 75°

sides: 13 cm, 9.7 cm, 11.5 cm

1. angles: 135°, 15°, 30°

sides: 7.1 cm, 2.6 cm, 5 cm

Explanation:

Step1: Draw a rough triangle shape

Use a ruler to draw a triangle outline.

Step2: Label the angles

Mark the angles \(59^{\circ}\), \(46^{\circ}\), \(75^{\circ}\) (for problem 37) or \(135^{\circ}\), \(15^{\circ}\), \(30^{\circ}\) (for problem 38) at the appropriate vertices of the triangle.

Step3: Label the side lengths

Using a ruler as a guide, mark the side lengths \(13\mathrm{cm}\), \(9.7\mathrm{cm}\), \(11.5\mathrm{cm}\) (for problem 37) or \(7.1\mathrm{cm}\), \(2.6\mathrm{cm}\), \(5\mathrm{cm}\) (for problem 38) on the corresponding sides of the triangle.

Answer:

A hand - drawn triangle with angles and side lengths labeled as per the given values (for problem 37: angles \(59^{\circ}\), \(46^{\circ}\), \(75^{\circ}\) and sides \(13\mathrm{cm}\), \(9.7\mathrm{cm}\), \(11.5\mathrm{cm}\); for problem 38: angles \(135^{\circ}\), \(15^{\circ}\), \(30^{\circ}\) and sides \(7.1\mathrm{cm}\), \(2.6\mathrm{cm}\), \(5\mathrm{cm}\)).