Which similarity statements would be true for the figure? (Select all that apply) \( \begin{array}{l}\text { A. } \triangle T E D \sim \Delta T E F \\ \text { B. } \triangle E D T \sim \triangle F D E \\ \text { D. } \triangle T E D \sim \triangle T F E \\ \text { E. } \triangle D F E \sim \triangle E F T\end{array} \)

The perimeter of a right triangle is 160 , and the hypotenuse is 68 . Find the area of the right triangle.

Determina la distancia entre los puntos \( A(-3,-2) \) y \( B(1,-4) \)

Find the slope \( m \) of the line through the following pair of points and draw the line through the points. \( (3,-1),(-2,-2) \) Answer exactly. \( m= \)

3. An artisan has 63 kg of metal of density \( 7000 \mathrm{~kg} / \mathrm{m}^{3} \). He intends to use it to make a rectangular pipe with external dimensions 12 cm by 15 cm and internal dimensions 10 cm by 12 cm . Calculate the length of the pipe in metres. [1999 PP1 No. 13]

4. Two ladders resting on level ground are leaning against the side of a house. The bottom each ladder is exactly 2.5 feet directly out from the base of the house. The point at whic each ladder rests against the house is 10 feet directly above the base of the house. Is th enough information to determine whether the two ladders have the same length? Expla Yes May be