Mathematics 10 — Exercise Review · Q5 (i)

Full question

Triangular prism has AB=8 cm, BF=14 cm, EF=19 cm. Find AF.

Step-by-step solution

1. Calculate this operation before combining the remaining terms.

   $$8^2=64$$

2. Calculate this operation before combining the remaining terms.

   $${14}^2=196$$

3. Calculate this operation before combining the remaining terms.

   $$64+196=260$$

4. Triangle ABF is right angled at B. AF²=AB²+BF².

   $$8^2+{14}^2$$

5. Square each: 64 and 196. Add 64+196=260.

6. Take √260=2√65≈16.125 cm.

   $$2\times \sqrt{65}$$

Answer

The final answer is shown below.