एका त्रिकोणाच्या बाजू 15, 20 आणि 25 आहेत. तर त्या त्रिकोणाच्या अंतर्वर्तुळाची त्रिज्या काढा.
Answers
Given : एका त्रिकोणाच्या बाजू 15, 20 आणि 25 आहेत.
Triangle with sides 15 , 20 and 25
To Find : त्रिकोणाच्या अंतर्वर्तुळाची त्रिज्या
Inradius
Solution :
s = ( 15 + 20 + 25 )/2 = 30
Area of triangle = √30(30 - 15)(30 - 20)(30 - 25)
= √(30)(15)(10)(5)
= √(10 * 3)( 5 * 3)(10)(5)
= 3 * 5 * 10
= 150 sq units
Area of triangle = = (1/2)(15 + 20 + 25) * r
r = inradius
= 30r
30r = 150
=> r = 5
त्रिकोणाच्या अंतर्वर्तुळाची त्रिज्या = 5
inradius = 5 cm
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