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10. Consider the triangles below.
please help quick​

10 Consider The Triangles Belowplease Help Quick class=

Sagot :

Heather

Answer: x = 5, y = 12, z = 15

Step-by-step explanation:

     Based on the given information, we know that these two triangles are similar. We can tell this because they both have a 90-degree angle and a 37-degree angle in corresponding places.

     With this information, we can find the scale factor, or the constant of proportionality, between the two triangles.

           9 / 3 = 3

     These are right triangles, so we can use the Pythagorean theorem, where a and b are the legs and c is the hypotenuse. We will solve for x.

➜ The 3-4-5 is a well-known right triangle.

           a² + b² = c²

           3² + 4² = x²

           25 = x²

           x = 5

     Lastly, we can find x and y using our constant of proportionality.

           y = 4 * 3 = 12

           y = 12

           z = 3 * x = 3 * 5 = 15

           z = 15

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