A rectangle has diagonal $5\sqrt{5}$ and one side of length 5. What is the length of the other side?
A$10$
B$5\sqrt{2}$
C$\sqrt{5}$
D$15$
Answer & Solution
Correct answer: A. $10$
Diagonal squared = sum of squares of sides: $(5\sqrt{5})^2 = 5^2 + b^2 \Rightarrow 125 = 25 + b^2 \Rightarrow b^2 = 100 \Rightarrow b = 10$.
Related questions
In a 30-60-90 right triangle, the side opposite the 30° angle has length 7. What is the leIf $ in(40°) = k$, what is $\cos(50°)$ in terms of $k$?In a right triangle, if $ in\theta = \frac{3}{5}$, what is the value of $\cos\theta$ (assuThe equation $(x - 3)^2 + (y + 2)^2 = 25$ represents a circle in the xy-plane. What are itA circle has radius 10. A sector of this circle has a central angle of 36°. What is the arA circle has a central angle of 60° subtending an arc of length 4 cm. What is the circumfeA right triangle has legs of length 9 and 12. What is the length of the hypotenuse?A 6-foot person casts a 4-foot shadow. At the same time, a nearby tree casts a 24-foot sha