the perimeter of an equilateral triangle is 8 inches more than the perimeter of a square, and the side of the triangle is 5 inches longer than the side of the square. Find the side of the triangle

An equilateral triangle has all 3 sides the same length

If one side of the triangle has length x, the perimeter = 3x

If one side of the square is 5 less than a side of the triangle

then the square has side length x-5 and perimeter 4(x-5) = 4x-20

Since the perimeter of the triangle is 7 more than

the perimeter of the square then our equation is:

3x = 4x-20+7

3x = 4x-13

x = 13

The sides of the triangle are 13 inches

The sides of the square are 13-5=8 inches

square root

step-by-step explanation:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.