Question

The hypotenuse of a 45-45-90 triangle has a length of 10 units. what is the length of one of its legs?
a.5 units
b.10 units
c.5 units
d.10 units

Answer 1

The length of one of the legs of a right angle triangle with hypotenuse side of 10 units is 5√2 units

What is a right angle triangle?

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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