Select the correct answers from each drop-down menu. Complete the steps in the proof that show quadrilateral KITE with vertices \( K(0,-2), \mathrm{I}(1,2), T(7,5) \), and \( E(4,-1) \) is a kite. Using the distance formula, \( K I=\sqrt{\left(2-(-2)^{2}+(1-0)^{2}\right.}=\sqrt{17}, K E=\square \) \( V \), and \( T E=\square \) Therefore, KITE is a kite because

the area of \( \triangle A B C=12 \mathrm{~cm}^{2} \), then \( \left(b^{2}+c^{2}-a^{2}\right) \tan A=\cdots \) 12 (b) 24

In the opposite figure : \( \frac{\mathrm{BE}}{\mathrm{BC}}= \) \( \begin{array}{ll}\text { (a) } \frac{1}{2} & \text { (b) } 2 \\ \text { (c) } \frac{1}{3} & \text { (d) } 3\end{array} \)

e) La somma e la differenza delle diagonali di un rombo misurano 126 cm e 18 cm . Calcola la misura del raggio della circonferenza inscritta nel rombo.

A square prism measuring 2 m by 2 m in base length and 5 m in height has a half-sphere attached to the top. What is the total surface area of this composite solid?

Dado un cilindro con un radio de 4 cm, ¿cuál debe ser la altura para que el volumen sea \( 64\pi \) cm³?