mckenzie and cara both tried to find the missing side of the right triangle.

mckenzie's cara's work
a2 + b2 = c2 /a2 + b2 = c2
52 + 132 = c2 /52 + b2 = 132
25 + 169 = c2 /25 + b2 = 169
194 = c2 b2 = 144/

13.93 ≈ c b ≈ 12

is either of them correct? explain your reasoning.

Both of them are correct

Step-by-step explanation:

Pythagorean theorem states that a^2 + b^2 = c^2, where c is the hypotenuse and a & b are the other two sides of a right triangle.  

Both Mckenzie and Cara did it well. The difference in their results relays on the different data they took, i. e., Mckenzie assumed that a = 5 and b = 13, therefore she correctly got that hypotenuse (c) is equal to 13.93; on the other hand, Cara assumed that a = 5 and c = 13, and correctly found that b = 12.

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it