Question

Plzzzzzzzzz help

Volume of the following triangular prism is 960 cm3…
a) Determine the length of the base of the triangle.
b) Determine the area of the triangle.
help plz

Answer 1

Explanation:

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

AC² = AB² + BC²

20² = 16² + BC²

BC =
`√(400-256)`

= 12

Therefore, another leg of the triangular base = 12 cm

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

=
`(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