Construct a right-angled triangle ABC, where:
|AB| = 6 cm
|∠ABC| = 90°
|AC| = 10 cm - Junior Cycle Mathematics - Question i - 2014
Question i
Construct a right-angled triangle ABC, where:
|AB| = 6 cm
|∠ABC| = 90°
|AC| = 10 cm.
(ii) On your diagram, measure the angle ∠CAB. Give your answer correct to th... show full transcript
Worked Solution & Example Answer:Construct a right-angled triangle ABC, where:
|AB| = 6 cm
|∠ABC| = 90°
|AC| = 10 cm - Junior Cycle Mathematics - Question i - 2014
Step 1
Construct a right-angled triangle ABC
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Answer
Begin by placing point A on your drawing.
From point A, draw a horizontal line segment of length 6 cm towards point B.
Construct point C such that |∠ABC| = 90° and |AC| = 10 cm. To find point C, use the Pythagorean theorem:
∣BC∣=∣AC∣2−∣AB∣2=102−62=100−36=64=8cm.
Connect points A and C, and then connect points B and C, forming triangle ABC.
Step 2
Measure the angle ∠CAB
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Answer
Using a protractor, place the center hole of the protractor at point A and align one side of the angle with line segment AC. Read the angle measurement at line segment AB.
Based on the measurement, the angle |∠CAB| = 53° (rounded to the nearest degree).
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