Answer:
Option A is correct.
Step-by-step explanation:
Given:
Angle of the right angles triangle are 45° , 45°, 90°
Length of the Hypotenuse = 7√2 units.
To find: Length of the one leg of the triangle.
Since two angles of the triangles are equal.
⇒ Opposite sides to equal angles are also equal.
We have Isosceles right angled triangle.
⇒ both legs are equal.
Let x be the length of the leg
using Pythagoras theorem,
(7√2)² = x² + x²
2x² = 49 × 2
x² = 49
x = ±7
Length cannot be negative so, x = 7
Therefore, Option A is correct.
