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Lines, Triangles and Circles · Question 46 of 67

Question 46

EasyOriginal question

The diagonals of a rhombus are 16 cm and 30 cm long. What is the length of each side?

Options for question 46

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. The diagonals of a rhombus bisect each other at right angles, giving four right triangles with legs 8 cm and 15 cm.

  2. Side = 82+152=289=17\sqrt{8^2 + 15^2} = \sqrt{289} = 17 cm.

Worth noting

34 cm comes from using the full diagonals instead of their halves.

Concept
Diagonals of a rhombus bisect each other at right angles
Typical time
40 s
Your time
—
The rule this testsQuadrilaterals and polygons
Practise this chapter →

Ten questions from Lines, Triangles and Circles, at your own pace.

Practise this chapter →

Ten questions from Lines, Triangles and Circles, at your own pace.