The length of one of the legs of a right angle triangle with hypotenuse side of 10 units is 5√2 units
A right angle triangle has one of its angles as 90 degrees.
Therefore, the length of its legs can be found using trigonometric ratios.
Hence,
sin 45 = opposite / hypotenuse
sin 45 = h / 10
cross multiply
h = 10 sin 45°
h = 10 × 0.70710678118
h = 7.07106781187
In surd form it is as follows;
h = 5√2 units
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