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The third side is 78
Because of the special right triangles (5, 12, 13) these give numbers are multiples so by finding the common multiple i was able to determine the final side length given it is a right triangle
Answer:
2nd option
Step-by-step explanation:
given
BD = 4x
CE = 2x + 2
test each answer option by substituting the given values of x into each of the above equations and see if it is consistent with the given values for BD and CD in the answer options.
1st option, when x = 5,
BD = 4x = 4(5) = 20 (Consistent)
CE = 2x + 2 = 2(5) + 2 = 10 + 2 = 12 ( not consistent with CE=8)
2nd option, when x = 3/7,
BD = 4x = 4(3/7) = 12/7 (Consistent)
CE = 2x + 2 = 2(3/7) + 2 = 6/7 + 2 = 20/7 ( consistent with CE=20/7) (ANSWER)
3rd option, when x = 3,
BD = 4x = 4(3) = 12 (Consistent)
CE = 2x + 2 = 2(3) + 2 = 6 + 2 = 8 ( not consistent with CE=20)
Answer:
![3 \sqrt{13}](https://tex.z-dn.net/?f=3%20%5Csqrt%7B13%7D%20)
Step-by-step explanation:
![{6}^{2} + {9}^{2}](https://tex.z-dn.net/?f=%20%7B6%7D%5E%7B2%7D%20%20%2B%20%20%7B9%7D%5E%7B2%7D%20)
![\sqrt{117}](https://tex.z-dn.net/?f=%20%5Csqrt%7B117%7D%20)
![3 \sqrt{13}](https://tex.z-dn.net/?f=3%20%5Csqrt%7B13%7D%20)
Will it 150 if it's not I try