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

Question 12(a)

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

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For triangle PQR to be an isosceles triangle, at least two sides must be of equal length. This can occur in two scenarios:
- If y=8, then the sides of the triangle are 8, 8, and 11.
- If y=11, then the sides of the triangle are 11, 11, and 8.
Thus, one valid value for y is:
y=8
or
y=11.
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