Question

if AOB=90,AC=BC,OA=12cm,OC=6.5cm. Then find triangle AOB
​

Answer 1

Answer:

5cm

Explanation:

C is the mid-point on AB, so that AC = BC

Now the mid-point of the hypotenuse of a right triangle is equidistant from the vertices.

Therefore, AC = BC = OC

hence, AC = BC = 6.5cm [since, OC = 6.5cm]

Now, AB = AC + BC = 6.5 + 6.5 = 13cm

According to Pythagoras rule,

OB² = AB² - AO²

OB² = 13² - 12²

OB² = 169 - 144 = 25

OB = √25 = 5cm