Question

In the following diagrams calculate the

sides marked with letters x and y.
All dimensions are in cm.

Answer 1

x=7.48 cm, y=6.94

Explanation:

Start by finding the value of x.

Using the Pythagorean Theorem,
`13^(2)+x^(2) =15^(2)`

`169+x^(2) =225\\x^2=56\\x=√(56)\\x=2√(14)`

Using this, we can again use the Pythagorean Theorem to find the value of y.

`2.8^(2) +y^(2) =(2√(14) )^(2) \\7.84+y^(2) =56\\y^(2) =48.16\\y=√(48.16)`

(I rounded to two decimal places, not sure what is required here)

x=7.48 cm

y=6.94 cm