1 Answer

Tony Zampogna · Answer 1 · 2024-01-03T00:38:11+0000

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:

$\begin{gathered} (hyp.)^2=(opp.)^2+(adj.)^2 \\ (14)^2=(x)^2+(x)^2 \\ 196=x^2+x^2 \\ 196=2x^2 \end{gathered}$

Find the value of x as:

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