Question

150 cm

7xcm
24x cm
The right-angled triangle in the diagram has sides of length 7x cm, 24x cm and 150 cm
a Show that x= 36.

Answer 1

9514 1404 393

Answer:

can't be done. x = 6, not 36

Explanation:

Without the diagram we must speculate that the 150 cm length is the hypotenuse. Then we have ...

150² = (7x)² +(24x)² = (49 +576)x² = 625x² . . . . Pythagorean relation

150²/625 = x² = 36 . . . . . divide by 625

x = √36 . . . . . . . . . . . take the square root

x = 6