Question

Graph the triangle with the given vertices. Find the length of the hypotenuse of the triangle. Assume a is a positive number.

X(0,0)

Y(a,2)

Z(a,0)

Answer 1

• X(0,0)
• Y(a,2)

$\\ \sf\longmapsto XY=\sqrt{x^2+y^2}$

$\\ \sf\longmapsto XY=\sqrt{a^2+2^2}$

$\\ \sf\longmapsto XY=\sqrt{a^2+4}$

$\\ \sf\longmapsto XY=2+a$