Use the variable expressions and the Pythagorean theorem and solve for x. Sides are listed smallest to largest. Round your answer to 1 decimal place. $$\{ x , 7 x , 55 \}$$
A) $x \approx 7.8$
B) $x \approx 5.8$
C) $x \approx 4.8$
D) $x \approx 5.3$
E) $x \approx 68$

Question

Quizplus · Accepted Answer

Given the sides of a right triangle as $x$, $7x$, and $55$, and using the Pythagorean theorem ($a^2 + b^2 = c^2$), we set $x^2 + (7x)^2 = 55^2$. Simplifying, $x^2 + 49x^2 = 3025$, leading to $50x^2 = 3025$, and solving for $x$ gives $x \approx 7.8$.

Use the Variable Expressions and the Pythagorean Theorem and Solve {x,7x,55}\{ x , 7 x , 55 \}{x,7x,55}

Use the Variable Expressions and the Pythagorean Theorem and Solve $\{ x , 7 x , 55 \}$