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Answer: The answer to your question is 6
Step-by-step explanation:
To solve this problem we will use proportions. We will compare the largest right triangle and the medium size triangle.
Medium triangle Large triangle
hypotenuse y 9 + 3
adjacent size 9 y
- Write the proportions
y/9 = (9 + 3)/y
-Solve for y
y² = 9(12)
y² = 108
y =
-Find the prime factors of 108
108 2
54 2
27 3
9 3
3 3
1
then, 108 = 2² 3³
-Expressthe root as fractional exponents
2²/² 3²/² 3¹/²
-Simplification
2(3)(3)¹/²
-Result
6