Mathematics 10 — Exercise 7.3 · Q1 (i)

Full question

In the triangular prism FE=5 cm, EC=4 cm, BC=3 cm. Find CF.

Step-by-step solution

1. The base rectangle has sides 5 cm and 4 cm. Its diagonal CF is the hypotenuse.

   $$\mathrm{CF²}=5^2+4^2$$

2. Calculate 5²=25 and 4²=16.

   $$25+16$$

3. Add to get CF²=41; take the positive square root.

   $$\mathrm{CF}=\sqrt{41}$$

Answer

The final answer is shown below.