Question

Plzzzzzzzzz help

Answer 1

Answer:

Step-by-step explanation:

a). By applying Pythagoras theorem in right triangle ABC,

AC² = AB² + BC²

20² = 16² + BC²

BC = $\sqrt{400-256}$

     = 12

Therefore, another leg of the triangular base = 12 cm

Area of the triangular base ABC = $\frac{1}{2}(\text{Base})(\text{Height})$

                                                      = $\frac{1}{2}(16)(12)$

                                                      = 96 cm²

Volume of a triangular prism = Area of the triangular base × height

                                       960 = 96 × b

                                          b = 10 cm

b). Area of the triangle ABC = 96 cm²