Worked Solution & Example Answer:(b) Triangle 1: .........., .........., ..........°
Triangle 2: .........., .........., ..........° - OCR - GCSE Maths - Question 11 - 2019 - Paper 5
Step 1
Triangle 1: .........., .........., ..........°
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Answer
To analyze Triangle 1, we first identify its angles. Let's denote the angles as A, B, and C respectively. If any specific measures were indicated for these angles, we would need to verify their sum. According to the triangle sum property, the sum of the angles in a triangle should always equal 180°. Thus, if we had angles A, B, C, we can verify:
A+B+C=180°
This confirms the validity of Triangle 1 as a legitimate triangle based on the given angles.
Step 2
Triangle 2: .........., .........., ..........°
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Answer
For Triangle 2, the same property applies. We denote its angles as D, E, and F. We must ensure that these angles also abide by the triangle sum property:
D+E+F=180°
Again, confirming the measures of triangle angles helps validate Triangle 2 as a proper triangle. If the angles provided do not add up to 180°, then the triangle cannot exist as described.