Find the length of the legs of a right triangle if both legs are equal and the hypotenuse is 10?


Answer:

length of the legs is 5\sqrt{2}

Step-by-step explanation:

the both sides of the  length of the legs of a right triangle are equal

So it form a isosceles triangle 45- 45- 90 degree triangle

the ratio of 45-45-90 degree triangle is x:x:x\sqrt{2}

xsqrt(2) is the side opposite to 90 degree

so hypotenuse =x\sqrt{2}

10=x\sqrt{2}

Divide both sides by square root (2)

\frac{10}{\sqrt{2}}=x

multiply square root (2) at the top and bottom

\frac{10 \cdot \sqrt{2}}{2}=x

x=5\sqrt{2}

length of the legs is 5\sqrt{2}


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