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The triangle PQR has sides of length 8, 11, and y - Junior Cycle Mathematics - Question 12(a) - 2015

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Question 12(a)

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The triangle PQR has sides of length 8, 11, and y. Write down a value of y for which ∆PQR is an isosceles triangle.

Worked Solution & Example Answer:The triangle PQR has sides of length 8, 11, and y - Junior Cycle Mathematics - Question 12(a) - 2015

Step 1

Write down a value of y for which ∆PQR is an isosceles triangle.

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Answer

For triangle PQR to be an isosceles triangle, at least two sides must be of equal length. This can occur in two scenarios:

  1. If y=8y = 8, then the sides of the triangle are 8, 8, and 11.
  2. If y=11y = 11, then the sides of the triangle are 11, 11, and 8.

Thus, one valid value for yy is:

y=8y = 8

or

y=11y = 11.

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