Question

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

Answer 1

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 $5\sqrt{2}$