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5. The triangle ABC has the following property. The distance from vertex C to the midpoint of side AB is half the distance from A to B. (a) Show that the measure of angle BCA equals the sum of the measures of angles ABC and CAB. (b) Show that the measure of angle BCA is 90°.

5. The triangle ABC has the following property. The distance from vertex C to the midpoint of side AB is half the distance from A to B. (a) Show that the measure of angle BCA equals the sum of the measures of angles ABC and CAB. (b) Show that the measure of angle BCA is 90°.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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5. The triangle ABC has the following property. The distance from vertex C to the midpoint of side AB is half the distance from A to B. (a) Show that the measure of angle BCA equals the sum of the measures of angles ABC and CAB. (b) Show that the measure of angle BCA is 90°. 6. What is the sum of the angles a, b, c, d, e, and f (in degrees)? Justify your answer. 7. Use only straightedge and compass to construct an angle of 135°. Describe the procedure you followed.
Transcribed Image Text:5. The triangle ABC has the following property. The distance from vertex C to the midpoint of side AB is half the distance from A to B. (a) Show that the measure of angle BCA equals the sum of the measures of angles ABC and CAB. (b) Show that the measure of angle BCA is 90°. 6. What is the sum of the angles a, b, c, d, e, and f (in degrees)? Justify your answer. 7. Use only straightedge and compass to construct an angle of 135°. Describe the procedure you followed.
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