Questions: Use the Pythagorean Theorem to find the missing length in the right triangle.

Solution Steps

In the right triangle, we are given:

• One leg $a = 11$
• Hypotenuse $c = 26$

The Pythagorean Theorem states: $$a^2 + b^2 = c^2$$ We need to find the missing leg $b$.

$$11^2 + b^2 = 26^2$$ $$121 + b^2 = 676$$

$$b^2 = 676 - 121$$ $$b^2 = 555$$

$$b = \sqrt{555}$$ $$b \approx 23.5$$ (rounded to one decimal place)

Final Answer