Show that in a right angled triangle, the hypotenuse is the longest side ...... Pls anyone do this...
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Answered by
0
Answer:
In a right angled triangle it is easy to find the hypotenuse.
Step-by-step explanation:
Formula:
a² + b² = c²
So let's say that leg "a" = 3 cm and leg "b" = 4 cm
Then we:
(3)² + (4)² = c²
9 + 16 = 25 √25 = 5
Therefore the hypotenuse of the right triangle is 5
P.S. Please give me a thanks!
Answered by
5
In the given triangle ABC,
Angle B = 90°
Hence Angle A + Angle C = 180°- 90° ...(Sum of all angles of the triangle are 180°)
Therefore Angle B is the greater angle than Angle A and Angle C. [Angle A>Angle C ]
We know that, Side opposite to greater angle is always longer.
Therefore, Side opposite to angle B is AC
.
[AC > BC and AC > AB]
That is AC is the longest side..
[AC is the hypotenuse]
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