Question

HELP ASAP THIS IS ABOUT “Multistep Pythagorean Theorem” HELP

Answer 1

`\displaystyle 8,1`

Explanation:

Use the Pythagorean Theorem twise [first time for the reflexive edge and the second time for the longer leg of the other triangle]:

`\displaystyle a^2 + b^2 = c^2 \\ \\ a^2 + 5^2 = 10^2 \hookrightarrow 100 = 25 + a^2 \hookrightarrow √(75) = √(x^2); 5√(3)\:[or\:8,6602540378...] = a \\ \\ \\ \\ a^2 + b^2 = c^2 \\ \\ x^2 + 3^2 = 5√(3)^2 \hookrightarrow 75 = 9 + x^2 \hookrightarrow √(66) = √(x^2); √(66)\:[or\:8,1240384046...] = x \\ \\ \boxed{\boxed{8,1 \approx x}}`

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Answer 2

8.1

Explanation:

The length of the missing side is 8.1 inches. You apply the pythagorean theorem to 5,b,10 and get 5sqrt3. Next, you apply the pythagorean theorem to 3, b, 5sqrt3 to get the square root of 66, which is 8.1, rounded to the nearest tenth.