# geometry

The perimeter of right triangle RST is equal to the perimeter of isosceles triangle XYZ. The lengths of the legs of the right triangle are 6 and 8. If the length of each side of the isosceles triangle is an integer. what is the greatest possible length for one of the sides of isosceles triangle XYZ?

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1. The hypotenuse of the right triangle is sqrt(6^2 + 8^2) = 10.
This makes the perimeter of RST 24.
Therefore, the maximum integer side of triangle XYZ is (24 - 2)/2 = 11.

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2. Consider the 6 inch × 9 inch rectangular cake that is 2 inches deep. If you cover the cake with frosting excluding the bottom, what is the surface area of the cake that will be covered with frosting?

Consider the 6 inch × 9 inch rectangular cake that is 2 inches deep. If you cover the cake with frosting excluding the bottom, what is the surface area of the cake that will be covered with frosting?

Consider the 6 inch × 9 inch rectangular cake that is 2 inches deep. If you cover the cake with frosting excluding the bottom, what is the surface area of the cake that will be covered with frosting?

Consider the 6 inch × 9 inch rectangular cake that is 2 inches deep. If you cover the cake with frosting excluding the bottom, what is the surface area of the cake that will be covered with frosting?

Consider the 6 inch × 9 inch rectangular cake that is 2 inches deep. If you cover the cake with frosting excluding the bottom, what is the surface area of the cake that will be covered with frosting?

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