Given:
A rectangle is inscribed inside the isosceles right triangle. The length of the hypotenuse of the right triangle is 14 units.
Required:
Express the y -coordinate of P in terms of x.
Step-by-step explanation:
Let the other equal side of the right triangle is x unit.
Use the Pythagorean theorem as:
![\begin{gathered} (hyp.)^2=(opp.)^2+(adj.)^2 \\ (14)^2=(x)^2+(x)^2 \\ 196=x^2+x^2 \\ 196=2x^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/c193b8iwnhsc41k7mi4jjw9ih18xmzxua5.png)
Find the value of x as:
![](https://img.qammunity.org/2023/formulas/biology/high-school/th3y35ipo1jqnb1pyz12bkyph7hz83zofb.png)