Cade and Tyce both tried to find the missing side of the right triangle. A right triangle is shown. The legs are labeled 6 and 9. A right angle is labeled in between them. Cade's Work Tyce's Work a2 + b2 = c2 a2 + b2 = c2 62 + b2 = 92 62 + 92 = c2 36 + b2 = 81 36 + 81 = c2 b2 = 45 117 = c2 Square root b squared equals square root 45. Square root 117 equals c squared. b ≈ 6.71 cades answer 10.82 ≈ c tyce answer Is either of them correct? Explain your reasoning.

Step-by-step explanation:

Two legs of the right triangle are 6 and 9. We can find its third side as follows :

The above is called Pythagoras theorem and it is applicable for a right angled triangle.

a,b and c are base, perpendicular and hypotenuse respectively

c is the third side

So,

Hence, Cade and Tyce both are correct. The length of the missing side is 10.82

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional