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Lines, Triangles and Circles · Question 22 of 67

Question 22

MediumOriginal question

In triangle XYZ, ∠X=72∘\angle X = 72^\circ and ∠Y=45∘\angle Y = 45^\circ. Which side of the triangle is the longest?

Options for question 22

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. ∠Z=180∘−72∘−45∘=63∘\angle Z = 180^\circ - 72^\circ - 45^\circ = 63^\circ.

  2. The largest angle is ∠X=72∘\angle X = 72^\circ.

  3. The longest side is the one opposite the largest angle, which is YZ.

Worth noting

The side opposite ∠X\angle X is the one that does not touch X, which is YZ. Students often pick XY or XZ because they contain the letter X.

Concept
The longest side is opposite the largest angle
Typical time
70 s
Your time
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The rule this testsTriangles
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