Question

27. The length of perpendicular sides of a right angle triangle is 7cm and 24 cm
respectively, then find the radius of it's circum circle.
(1) 12.5 cm
(2) 25 cm
(3) 12 cm
(4) 6.5 cm​

Answer 1

Answer:

radius of it's circum circle is 12.5 cm

Step-by-step explanation:

See the attachment

Answer 2

A triangle is a right angled triangle if its hypothenuse is the diameter of the circle. (See attached)

We can find any of the missing length of a right angled triangle using the Pythagoras Theorem if we know the length of 2 of its sides:

$a^2 + b^2 = c^2$

Find the hypotenuse of the triangle:

$a^2 + b^2 = c^2$

$c^2 = 7^2 + 24^2$

$c^2 = 625$

$c = 25 \text{ cm}$

Find the radius:

$\text{Radius} = \text{Diameter} \div 2$

$\text{Radius} = \text{25} \div 2$

$\text{Radius} = 12.5 \text{ cm}$

Answer: (1) 12.5 cm