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Apply the Pythagorean Theorem to find the value of each missing variable. Express your answer in simplest radical form.

Apply the Pythagorean Theorem to find the value of each missing variable. Express-example-1
User Arnold Balliu
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1 Answer

15 votes
15 votes

hello to solve this question, we can take the two triangles apart and then solve the individual missing part

let's solve for triangle a

to solve for x, let's use pythagorean theorem


\begin{gathered} x^2=9^2+5^2 \\ x^2=81+25 \\ x^2=106 \\ \text{take the square root of both sides} \\ x=\sqrt[]{106} \\ x=10.295\approx10.3 \end{gathered}

let's solve for right-angle triangle b


\begin{gathered} y^2=5^2+3^2^{} \\ y^2=25+9 \\ y^2=34 \\ \text{take the squre root of both sides} \\ y=\sqrt[]{34} \\ y=5.83 \end{gathered}

from the calculation above, the value of x and y is 10.30 and 5.83 respectively

Apply the Pythagorean Theorem to find the value of each missing variable. Express-example-1
Apply the Pythagorean Theorem to find the value of each missing variable. Express-example-2
Apply the Pythagorean Theorem to find the value of each missing variable. Express-example-3
User Giulio Roggero
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3.3k points