Question

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

Answer 1

x = 12

y = 16

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=√(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=√(256)\\y=16\\`