Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 Hypotenuse 5, one leg 3. Find the other leg.
Show worked solution
a = √16 = 4.
2 Hypotenuse 10, one leg 6. Find the other leg.
Show worked solution
a = √64 = 8.
3 Hypotenuse 13, one leg 5. Find the other leg.
Show worked solution
a = √144 = 12.
Level 2 · Core
4 Hypotenuse 25, one leg 7. Find the other leg.
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a = √576 = 24.
5 A 10 m ladder has its foot 6 m from a wall. How high does it reach? (m)
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8 m.
6 You are given sides 17 and 8, where 17 is the hypotenuse. Do you add or subtract?
Show worked solution
Subtract: 289 − 64 = 225, so the other leg is 15.
Level 3 · Challenge
7 An isosceles triangle has equal sides 13 and base 10. Find its height.
Show worked solution
h = √144 = 12.
8 An isosceles triangle has equal sides 10 and base 12. Find its height.
Show worked solution
h = √64 = 8.
9 A 5 m ladder's foot is 1.4 m from a wall. How high does it reach? (m)
Show worked solution
√23.04 = 4.8 m.