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Algorithms for classifying shapes

DIFFICULTYintrostandardchallenge
QUESTION TYPEMix of allChange
triangle sides equilateral acutetriangle sides isosceles acutetriangle sides isosceles righttriangle sides isosceles obtusetriangle sides scalene acutetriangle sides scalene righttriangle sides scalene obtusetriangle angles equilateral acutetriangle angles isosceles acutetriangle angles isosceles righttriangle angles isosceles obtusetriangle angles scalene acutetriangle angles scalene righttriangle angles scalene obtuseNOWMix of allRecommended

This is a fixed question bank. Later sets may repeat these questions

Question 1 of 8

No calculator

Inputs are valid triangles. Compare the largest interior angle with 90°

Decision A: is the largest angle greater than 90°? Yes: output 3 (obtuse) and stop. No: go to B

Decision B: is the largest angle equal to 90°? Yes: output 2 (right-angled) and stop. No: output 1 (acute) and stop

Trace codes: 1 means Yes, 0 means No, and 9 means the decision was not reached. Output codes are given in the algorithm

Triangle ABC has these side relationships: CA = CB, and AB has a different length

Its interior angles are A = 30°, B = 30° and C = 120°

Triangle ABC with stated side relationships and all three interior angle measures supplied in the questionABC
Use the stated properties and marked equalities, not measurements from the drawing
3 marks

What entries result from running this algorithm on the supplied shape? Complete the record

Use exact whole-number codes from the question, with no units

Requested entryCode or count
Decision A trace code?
Decision B trace code?
Terminal output code?