Sample lesson
Pythagoras' Theorem 1
Progress:
5
10
4
10
You should use a calculator for this lesson
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Find the length of the side marked 𝑥. Give your answer correct to 3 significant figures.
Find the length of the side marked 𝑥
Find the sum of the squares of the two given sides:
5cm
10cm
𝑥
𝑥
5cm
10cm
5cm
𝑥
10cm
10cm
𝑥
5cm
cm
Correct
This is not correct.
𝑥² = 16² + 7²
= 256 + 49
= 305
𝑥 = √305
= 17.5cm (to 3 s.f.)
𝑥² = 9² + 5²
= 81 + 25
= 106
𝑥 = √106
= 10.3cm (to 3 s.f.)
𝑥² = 23² + 11²
= 529 + 121
= 650
𝑥 = √650
= 25.5cm (to 3 s.f.)
𝑥² = 15² + 7²
= 225 + 49
= 274
𝑥 = √274
= 16.6cm (to 3 s.f.)
𝑥² = 2² + 1²
= 4 + 1
= 5
𝑥 = √5
= 2.24cm (to 3 s.f.)
This is not correct.
𝑥² = 10² + 6²
= 100 + 36
= 136
𝑥 = √136
= 11.7cm (to 3 s.f.)
We are finding the longest side so we need
to square the other two sides and add them.
You subtracted rather than added.
This is not correct.
𝑥² = 16² + 8²
= 256 + 64
= 320
𝑥 = √320
= 17.9cm (to 3 s.f.)
You didn't square the 16.
This is not correct.
𝑥² = 21² + 9²
= 441 + 81
= 522
𝑥 = √522
= 22.8cm (to 3 s.f.)
You didn't square the 9.
This is not correct.
𝑥² = 2² + 1²
= 4 + 1
= 5
𝑥 = √5
= 2.24cm (to 3 s.f.)
You didn't square root the 5.
This is not correct.
9² + 4² = 81 + 16
= 97
This is not correct.
17² + 8² = 289 + 64
= 353
This is not correct.
21² + 11² = 441 + 121
= 562
This is not correct.
12² + 6² = 144 + 36
= 180
We are finding the sum of the squares
so the squares need to be added. You
subtracted rather than added.