Question

HELP (step by step explanation pls)

Answer 1

Step-by-step explanation:

In ∆ABC O is a midpoint of BC , AOB = 90 ° OA = 12cm and OC = 6.5 cm

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

∴CA=CB=OC⇒CA=CB=6.5 cm⇒AB=13 cm

In right triangle OAB, we have

AB

2

=OB

2

+OA

2

⇒13

2

=OB

2

+12

2

⇒OB=5

∴ar(△AOB)=

2

1

(OA×OB)=

2

1

(12×15)=30 cm

2

Answer 2

Answer:

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

∴CA=CB=OC⇒CA=CB=6.5 cm⇒AB=13 cm

In right triangle OAB, we have

AB

2

=OB

2

+OA

2

⇒13

2

=OB

2

+12

2

⇒OB=5

∴ar(△AOB)=

2

1

(OA×OB)=

2

1

(12×15)=30 cm

2