Question

PQR is a right-angled triangle with PQ = 3cm & Q R = 4cm. A circle which
touches all the sides of the triangle inscribed in the triangle calculate
the radius of the circle.​

Answer 1

Answer:

Radius of the circle = 1 cm

Step-by-step explanation:

PQR is a right-angled triangle with PQ = 3cm & Q R = 4cm

Assuming triangle is Right angled at Q

PR² = PQ² + QR²

=> PR² = 3² + 4²

=> PR² = 25

=> PR = 5

Area of triangle = (1/2) * PQ * QR = (1/2) * 3 * 4 = 6cm²

r = radius of incircle

Area of triangles = (1/2)(PQ + QR + PR)*r

= (1/2)(3 + 4 + 5)*r

= 6r

6r = 6

=> r = 1

Radius of the circle = 1 cm