Answer:
x=7.48 cm, y=6.94
Step-by-step explanation:
Start by finding the value of x.
Using the Pythagorean Theorem, [tex]13^{2}+x^{2} =15^{2}[/tex]
[tex]169+x^{2} =225\\x^2=56\\x=\sqrt{56}\\x=2\sqrt{14}[/tex]
Using this, we can again use the Pythagorean Theorem to find the value of y.
[tex]2.8^{2} +y^{2} =(2\sqrt{14} )^{2} \\7.84+y^{2} =56\\y^{2} =48.16\\y=\sqrt{48.16}[/tex]
(I rounded to two decimal places, not sure what is required here)
x=7.48 cm
y=6.94 cm
