Question

If the perimeter of triangle QRS is 345, find y:
https://lh4.googleusercontent.com/visJ7u06lJovnHyglzoALzqaQvHJyh82vwfk2Wgm5IwZCWO5DQ25dRYp2lSz1dEk3ws7O05h95pwBalDuaBL0IdZpsvshQM3aqop9rU9FRWJk5bj9Ta2PUv5YJpQrbm1bFnpBDpu

pic of triangle

Answer 1

Due to it being an isosceles triangle the two marked sides are equal to each other.

\(\huge\bf{QS=QR}\) Substitute.

\(\huge\bf{QS=y+31}\)

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That being said we know that the entire perimeter is `345` so each side side added up all together equals `345`.

\(\huge\bf{RS+SR+RQ=345}\) Substitute.

\(\huge\bf{(y+31)+(y)+(y+31)=345}\)

You would simplify to find y.