The two sides of a right angled triangle are equal and square of its hypotenuse is $50{ \mathrm{cm}}^2$. Find the length of each side.

Crosswords
Use the clues to fill in the words below.
Words can go across or down.
Letters are shared when the words intersect.

Across
$4$. The line segment joining the vertex of a triangle to the midpoint of its opposite sides.
$7$. The point where all the altitudes of a triangle meet.
$8$. The perpendicular from a vertex to the opposite side.
Down
$1$. The side opposite to the right angle in a right triangle.
$2$. The point where all medians meet
$3$. The triangle in which two sides are equal in length
$5$. The sum of three angles of a triangle
$6$. The sum of the lengths of all sides of the triangle

Find the value of $x$ and $y$.

Find the value of $x$ and $y$.

Find the value of $x$ and $y$.

Find the value of $x$ and $y$.

Can a triangle be constructed with the following measurements of sides? Explain.

$5 \mathrm{cm}, 8 \mathrm{cm}, 10 \mathrm{cm}$

Can a triangle be constructed with the following measurements of sides? Explain.

$6 \mathrm{cm}, 4 \mathrm{cm}, 11 \mathrm{cm}$