Which of the following sets of numbers could represent the three sides of a right triangle? A) {9,12,14}
B) {11,59,61}
C) {48,55,73}
D) {8,40,41}

9514 1404 393

  C)  {48, 55, 73}

Step-by-step explanation:

In general, you see which sets of numbers satisfy the Pythagorean theorem. The tedium can be relieved slightly by letting a spreadsheet do the calculations.

The attachment shows us that triangle C is a right triangle.

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You may recognize some of the answer choice triples as being "near" some familiar Pythagorean triples:

  {3, 4, 5} × 3 = {9, 12, 15} . . . near A)

  {11, 60, 61} . . . . near B)

  {9, 40, 41} . . . . near D)

The highlighted numbers are the indication that the nearby answer choice is NOT a right triangle.

здрасти

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.