Question

EXERCISE 7.4
Show that in a right angled triangle, the
hypotenuse is the longest side.​

Answer 1

Answer:

In a right angled triangle, the angle opposite To the hypotenuse is 90°, while other two angles are Always less than 90°. As you know that the side opposite to the largest angle is always the largest in a triangle.

Explanation:

In the given ΔABC,

Angle B = 90°

Hence ∠A + ∠C = 180°-90°.....[Sum of all angles of the triangle are 180°.]

Therefore ∠B is the greater than ∠A and ∠C. [∠A > ∠C ]

We know that.. Side opposite to greater angle is always longer.

Side opposite to ∠B is AC

[AC > BC and AC > AB]

That is AC is the longest side..

[AC is the hypotenuse]

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