A group of forty-eight eight grade students was surveyed to find out much time they spent studying for their final exam and thei
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Given:
The figure of a right angle triangle with hypotenuse 10 and two angles
To find:
The lengths of the legs.
Solution:
Two angles are given. By using the angle sum property, the third angle is:
Third angle =
=
Base angles are equal it means the given triangle is an isosceles right triangle. So, the lengths of both legs are equal.
Let x be the lengths of both legs. Then by using Pythagoras theorem, we get
Taking square root on both sides, we get
The side length cannot be negative. So, the only value of x is .
Therefore, the length of the both legs is units.