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Right triangle with sides 3.5, 1.4, and x.

Right triangle with hypotenuse 3.5, height 1.4, and base x.

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Show Answer Key & Explanations Step-by-step solution for: Pre Algebra Lessons | Free Lessons, Practice Problems & Assessment

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- This is a right triangle with a hypotenuse of length 3.5 and one leg of length 1.4.
- The unknown side, labeled 'x', is the other leg.
- Using the Pythagorean theorem: $a^2 + b^2 = c^2$, where c is the hypotenuse.
- Substitute the known values: $x^2 + 1.4^2 = 3.5^2$.
- Calculate the squares: $x^2 + 1.96 = 12.25$.
- Subtract 1.96 from both sides: $x^2 = 10.29$.
- Take the square root of both sides: $x = \sqrt{10.29}$.
- Simplify the result: $x \approx 3.21$.

Parent Tip: Review the logic above to help your child master the concept of pre algebra lessons.

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