Maths-

General

Easy

Question

# In the figure, , AC = BC, OA = 12 cm and OC = 6.5 cm. Find the area of DA.OB.

- 15
- 13
- 45
- 30

## The correct answer is: 30

### Since mid-point of the hypotenuse of a right triangle is equidistant from the vertices.$∴CA=CB=OC$

$⇒CA=CB=6.5cm$

$⇒AB=13cm$In right triangle $OAB$, we have

$AB_{2}=O2+O2$

$⇒13_{2}=O2+12_{2}$

$⇒OB=5$

$∴ar(△AOB)=21 (OA×OB)=21 (12×15)=30c2$

Hence 30 is correct option

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