Unit 2
4 marks · EasyA right-angled triangle has side lengths 3 cm and 4 cm. The third side is the hypotenuse. Use Pythagoras' theorem to find its length. Then, write your answer in standard form.
Work out the length of the hypotenuse.
Express your answer to part (a) in standard form.
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) 5 cm · must show Pythagoras' calculation: c^2 = 3^2 + 4^2
(b) 5 \times 10^{0} · must show Correct standard form 5 × 10^0
Show mark scheme and worked solution
Marking points
M1 (a) · 1 mark · Correct application of Pythagoras' theorem:
A1 (a) · 1 mark · Correct calculation of hypotenuse (5 cm).
M2 (b) · 1 mark · Attempts to write 5 in standard form.
A2 (b) · 1 mark · Gives correct standard form: 5 × 10^0
Worked solution
a) By Pythagoras' theorem, . So, cm.
b) 5 in standard form is .