The congruent sides of an isosceles triangle are each one unit longer than the length of the shortest side of the triangle the perimeter of the triangle the same as a perimeter of a square with side length is 2 units shorter than the length of the shorter side of the triangle what is the length of the shorter side of the triangle

Let s represent the short side of the triangle. The long sides of the triangle are each s+1, and the triangle's perimeter is

... s + (s+1) + (s+1) = 3s+2

The length of one side of the square is s-2, and its perimeter is 4 times that, 4(s-2) = 4s-8. The square and triangle have the same perimeter, so

... 3s+2 = 4s-8

... 10 = s . . . . . . . . add 8-3s to both sides

The length of the shorter side of the triange is 10 units.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.