ABC is a triangle right angled at c if AB = 41 cm and AC = 9cm find BC
Answers
Answered by
1078
Answer::
- BC² = AB² - AC²
- BC² = 41² - 9²
- BC² = 1681 - 81
- BC² = 1600
- BC = √1600
- BC = 40 answer
Answered by
1
Answer:
Yes, ∆ABC is a right angle triangle
Step-by-step explanation:
It is given that
AC=9 cm
AB=40 cm
BC=41 cm
The triangle will be right angled if square of the largest side is equal to the sum of the squares of the other two sides.
BC
2
=41
2
=1681 ------(1)
AB
2
=40
2
=1600 ------(2)
AC
2
=9
2
=81 -------(3)
From (1), (2) and (3), we see that
BC
2
=AB
2
+AC
2
Therefore, ΔABC is a right-angled triangle.
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