How do we get the side length of this accurately? Is this even to scale? MS says 45 is the area but how? I got it in decimals.. we only have the hypotenuse. If anyone knows how to get the base and height lemme know, thanks

Guest May 7, 2021

#1**+1 **

Break it into two right triangles one with b = 3 h = 6

the other with b = 12 h = 6

area of right triangle = 1/2 b * h so total would be 1/2 3 * 6 + 1/2 6 *12 = 45 units^{2}

^{If you need the leg lengths of the entire right triangle ...use the distance formula between two points }

^{ L leg = sqrt ( (3-0)^2 + (0-6)^2 ) = sqrt 45}

^{R leg = sqrt ( 12^2 + 6^2) = sqrt 180}

area = 1/2 L1 * L2 = 1/2 (sqrt (45) * sqrt180 ) = 45 units^{2} (again)

ElectricPavlov May 7, 2021