Unit 3
4 marks · Easy3. A triangle has sides of lengths 6 cm, 8 cm and 10 cm.
Is this a right triangle? Explain your answer using Pythagoras' Theorem.
Write all the factors of 10.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
(a) Yes; 6^2 + 8^2 = 36 + 64 = 100 = 10^2
(b) 1, 2, 5, 10
Show mark scheme and worked solution
Marking points
M1 (a) · 1 mark · Attempts Pythagoras' theorem correctly
A1 (a) · 1 mark · Correct conclusion with working: 6^2 + 8^2 = 10^2
M2 (b) · 1 mark · One correct factor of 10 listed
A2 (b) · 1 mark · Lists all factors: 1, 2, 5, 10
Worked solution
a) By Pythagoras: 6^2 + 8^2 = 36 + 64 = 100; 10^2 = 100. So the triangle is right-angled.
b) Factors of 10 are all numbers dividing exactly into 10: 1, 2, 5, 10.