Question

1 Look at the figure

289 cm
15 cm
15 cm
Which of the following correctly completes
the diagram to represent the Pythagorean
Theorem?
4 cm
cm
AO
because 289 - 15% - 2
22 cm
B
22 cm
because 289 +15-22
12 cm
12 cm
с
because 289 -15+ 122
D
cm
because 289 - 82 + 15

Answer 1

D. 8-cm square

Explanation:

The smaller square shown on the figure has an area of 15×15 = 225. The sum of the two smaller square areas must equal the larger square area, so the smallest square must have an area of ...

289 -225 = 64

Its side dimensions will be √64 = 8 cm.

The diagram is correctly completed by the 8 cm square.