Question

Two chords and a diameter form a triangle inside a circle. the radius is 5cm and one chord is 2cm longer than the other one. find the perimeter and the area of the triangle.

Answer 1

Answer:

Step-by-step explanation:

Let x be the length of the shorter chord

and x+2 be the length of the longer chord

In Triangle ABC

Angles ABC =90  degrees

According to the pythagoras theorem,

(10×10) = (x×x) + (x+2)(x+2)

100 = x×x + x×x+4+4x

x=6

That is the length of the longer chord is 8cm and shorter chord is 6cm

Answer 2

Answer:

Area = 24cm²

Perimeter = 24 cm

Step-by-step explanation: