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?
asked by
HSutha

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.posted by Anonymous
Respond to this Question
Similar Questions

Math (Geometry)
The perimeter of right triangle ABC is equal to the perimeter of isosceles triangle DEF. 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 
Math
If all of the following triangles have the same perimeter, which has the greater area? a) a right triangle with legs of equal lengths b) an equilateral triangle, c) An obtuse triangle d) a triangle whose sides are all different 
isosceles triangle
An isosceles triangle is a triangle that has two equal sides. Find AB, BC and AC. Determine if the triangle is isoseles or not based on the lengths of the three sides. can someone show me how to solve?please The triangle is 
algebra
The base of an isosceles triangle and one of its legs have lengths that have consecutive integers. The leg is longer than the base. The perimeter of the triangle is 20. Find the length of each side of the triangle. *Please help 
math
The base of an isosceles triangle is four less than the sum of the lengths of the legs. If the perimeter of the triangle is 44, find the length of the three sides of the triangle.[ Only an algebraic solution will be accepted ] 
Geometry
Triangle XYZ below is an isosceles triangle with legs XY and ZY. QR and QS are perpendicular bisectors of triangle XYZ. Find the length of segment QR if QR = ½ x and QS = ½ x + 4. 
Math
In a diagram of an 2 isosceles triangles, where ABC is a big triangle and a ADE, is just inside the top portion of ABC. Isosceles triangle ABC is similar to a isosceles triangle ADE what is the length of DE, which is the base part 
geometry
The perimeter of an isosceles triangle is 42 cm . its base is 2/3 times the sum of the equal sides . find the length of each side and the area of the triangle. 
Algebra
The legs of an isosceles triangle are 0.3 foot less than twice the base. The perimeter of the triangle is 4.9 feet. What is the length of one of the triangle’s legs? 
math
the perimeter of isosceles triangle is 70 d. of the length of a leg of the triangle is 5 dm less than twice the lenth of the base, find the lengths of the sides of the triangle.