Question

One diagonal of a rhombus is 30 cm long. If one of its side is 17 cm, find the length of the langth
other diagonal.​

Answer 1

Answer:

16cm

Step-by-step explanation:

The diagonal bisect at right angles.

Let the other diagonal be d

=> 15² + (d/2)² = 17²

=> d²/4 = 17² - 15²

=> d²/4 = (17 + 15)(17 - 15)

=> d²/4 = (32)(2)

=> d²/4 = 64

=> (d/2)² = (8)²

=> d/2 = 8

=> d = 8 × 2

=> d = 16 cm

Hope it helps