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4) Which set of side lengths could for a right triangle

A 1cm,3cm,2cm
B 5cm,10cm,15,cm
C 10cm,6cm,8cm
D 7cm,7cm,7cm

SHOW WORK PLEASE!!

The answer is option C: 10cm, 6cm and 8cm

Step-by-step explanation: A right angled triangle has an hypotenuse (the longest of all three sides) facing the 90 degree angle. Also a right angled triangle can be solved by means of the Pythagoras theorem which states that;

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse (10cm) and AB (6cm) and BC (10cm) are the other two sides.

If that is the case, we can insert the values as given in option C to know whether or not they make up a right angled triangle. Therefore

10^2 = 6^2 + 8^2

100 = 36 + 64

100 = 100

Therefore the side lengths 10cm, 6cm and 8cm satisfies the requirements for a right angled triangle

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!