ABC is a triangle in which A=90degree a circle is inscribed in a triangle if the sidess of the triangle are 8 cm and6 cm find radius of the circle
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Answer:
Step-by-step explanation:
Angle A=90°
AB=8cm
Bc=6cm
Ac(hypotenuse)=X
Using Pythagoras theorm we get
Ab^2+bc^2=ac^2
8^2+6^2=ac^2
64+36=ac^2
100=ac^2
Ac=10
Now to calculate the radius of the circle
a=8
b=6
c=10
Using formula
a+b-c/2
8+6-10/2
14-10/2
4/2
2 cm is the radius
NOTE: ABOVE FORMULA CAN BE USED ONLY WHEN TRIANGLE IS RIGHT ANGLE
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