Math L2 Module 10

Mathematics NQF Level 2 Downloaded from hlayiso.com *see terms and conditions Mathematics NQF Level 2

Solving problems by constructing and interpreting geometrical models Module 10 Downloaded from hlayiso.com Mathematics NQF Level 2

The sides of a right-angled triangle and the theorem of Pythagoras The theorem of Pythagoras Downloaded from hlayiso.com Unit 10.1

Learning activity 10.1 Downloaded from hlayiso.com Mathematics NQF Level 2

2. Calculate the length of BC. BC 2  AC 2  AB 2 [Theorem of Pythagoras]  52  32  25  9  16  BC  4 units Downloaded from hlayiso.com Learning activity 10.1

Learning activity 10.2 Downloaded from hlayiso.com Mathematics NQF Level 2

1. In a right-angled triangle ABC, B  90  , AB = 120 mm and BC = 200 mm. Calculate the length of AC. AC 2  AB2  BC 2 2 2  120  200  14 400  40 000 = 54 400  AC  233, 238 mm LG Figure 10.2 Downloaded from hlayiso.com Summative assessment – Module 10

Click above to play this video. Downloaded from hlayiso.com Summative assessment – Module 10

Summative assessment Module 10 Downloaded from hlayiso.com Mathematics NQF Level 2

3. In a right-angled triangle PQR, Q̂  90, PR = 32 m and QR = 9 m. Calculate the length of PQ. PQ 2  PR 2  RQ 2  322  92  1 024  81 = 943  PQ  30, 708 m LG Figure 10.6 Downloaded from hlayiso.com Learning activity 10.2

6. A ladder stands against a wall. The bottom end is 3 m from the wall. If the ladder is 5 m long, calculate the height of the top of the ladder from the ground. BC 2  AC 2  AB2 2 2  5 3  16  BC  4 m LG Figure 10.8 Downloaded from hlayiso.com Learning activity 10.2

Downloaded from hlayiso.com Mathematics NQF Level 2