Find the values of the variables in each right triangle.

Question

asked May 24, 2021 48.5k views

1 Answer

Rus Paul · Answer 1 · 2021-05-28T05:02:03+0000

Answer:

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.

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