Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below.

todd wants to paint a design on the wood along the diagonal shown. if each tile is 13 centimeters on each side, what is the length of the diagonal shown?
a. 182 centimeters
b. 169 centimeters
c. 130 centimeters
d. 91 centimeters

The correct answer option is C. 130 centimeters.

Step-by-step explanation:

Since each tile is 13 centimeters on each side and considering the diagonal shown in the picture, it makes a right angled triangle.

Now this right angled triangle has 6 tiles on one side and 8 tiles on the other side. Multiplying the number of tiles by 13 to find the side lengths and then using the Pythagoras Theorem to find the length of the diagonal.

6 × 13 = 78

8 × 13 = 104

Length of diagonal =

∠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.

he has now walked a total of what?

if i know what this is maybe i can

step-by-step explanation: