Question

ABCD is a rectangle with ab =12cm and bc =5cm find ac

Answer 1

Answer: AC = 13cm

Step-by-step explanation:

Since it is a rectangle, each angle will be 90°

So, the triangle formed by the diagonal ( AC) and the other two sides (AB and BC) will be a right-angled triangle

Therefore by Pythagorean’s theorem,

AB² + BC² = AC²

(12)² + (5)² = AC²

144 + 25    = AC²

169 = AC²

AC = √169

     = 13

Therefore, the diagonal AC is 13 cm