Suppose
At the same time, we can write
Note that (just reverse the sum). Let's pair the first terms of
and
, and the second, and the third, and so on:
Now, each grouped term in the sum on the right side adds to 151. There are 52 grouped terms on that same side (because there are 50 numbers in the range of integers 51-100, plus 50 and 101), which menas
But , as we pointed out, so
Answer:
Yes they are
Step-by-step explanation:
In the triangle JKL, the sides can be calculated as following:
=> JK =
=> JL =
=> KL =
In the triangle QNP, the sides can be calculate as following:
=> QN =
=> QP =
=> NP =
It can be seen that QPN and JKL have: JK = QN; JL = QP; KL = NP
=> They are congruent triangles