The points (0,8), (0,0) and (15,0) are vertices of right angled triangle true or false
Answers
Answer:
True
Step-by-step explanation:
Suppose the three points are A(0,8) B(0,0) and C(15,0) then:
To find if these form a right angle triangle :
Formula to be used : to check AB² + BC² = CA²
So lets find distance for each:
AB= √(x2-x1)² + (y2-y2)²
= √(0-0)² + (0-8)²
= √(-8)²
= √64
= 8
BC= √(15-0)² + (0-0)² (Using same formula)
= √225
= 15
CA = √(15-0)² + (8-0)² (Using same formula)
= √225 + 64
= √289
= 17
Check the equality : -> AB² + BC² = CA²
8² + 15² = 17²
64 + 225 = 289 -> CA²
So as this equality turned out to be true the answer is true........
Hope this helps you:)
All the best dear!!
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