Which set of side lengths forms a right triangle?
a. 2, 3, 13
b. 4, 6, 10
c. 9, 12, 18
d. 15, 36, 39

Answer with Step-by-step explanation:

In a right angled triangle the longest side is Hypotenuse and the Pythagorean theorem is satisfied

i.e. square of hypotenuse is equal to sum of squares of other two sides

A. 2, 3, 13

hypotenuse=13

13²=169

2²+3²=13

It doesn't satisfy the Pythagorean theorem

B. 4, 6, 10

hypotenuse=10

10²=100

4²+6²=52

It doesn't satisfy the Pythagorean theorem

C. 9, 12, 18

hypotenuse=18

18²=324

12²+9²=225

It doesn't satisfy the Pythagorean theorem

D. 15, 36, 39

hypotenuse=39

39²=1521

15²+36²=1521

It satisfy the Pythagorean theorem

Hence, Correct option is:

D. 15, 36, 39

the answer is 62.8 cubic units

$655.61 which is option c

step-by-step explanation:

price of house =   $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

                                        =

                                        =$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

                                      =$35770

remaining money = $146000-35770

                                =$110230

new mortgaged payment = 5 % of 110230

                                            =  

                                            =$655.61