Question

triangle ABC is a isosceles right angle triangle in a semicircle of diameter AB calculate probability of a dot put without looking be with in the triangle​

Answer 1

Step-by-step explanation:

△ABC is a right angled triangle. So, by Pythagoras theorem

AC

2

=AB

2

+BC

2

=7

2

+7

2

=98

∴AC=

98

=7

2

cm

Arc A−B−C is a semicircle. ∴AC=7

2

cm is the diameter of the semicircle.

Area of the shaded portion = Area of semi-circle (A−B−C)− Area of △ABC

=

2

1

×

4

πd

2

−

2

1

×AB×BC

=

2×7×4

22×98

−

2

7×7

=14 cm

2