Question

Find the values of the variables in each right triangle.​

Answer 1

Answer:

x = 12

y = 16

Step-by-step explanation:

Use the Pythagoras Theorem on the left triangle.

$(Hypotenuse)2=(Base)^2+(Perpendicular)^2\\(x)^2=(7.2)^2+(9.6)^2\\x^2=51.84+92.16\\x^2=144\\x=\sqrt{144}\\x=12$

Now use the Pythagoras Theorem on the right triangle.

$(Hypotenuse)2=(Base)^2+(Perpendicular)^2\\(y)^2=(12.8)^2+(9.6)^2\\y^2=163.84+92.16\\y^2=256\\y=\sqrt{256}\\y=16$