PERFOMANCE TASK: Solve the word problem below. You may draw the figure to solve the problem The legs of a right triangle are congruent, and the hypotenuse is 5v2 units long. Find the length of each leg. (Use the Pythagorean Theorem, c2 al + b2D

x =5

Step-by-step explanation:

c = 5√2

a = x

b = x

Formula

x^2 + x^2 = c^2                    Combine the x^2

Solution

2x^2 = (5√2)^2                    Expand the right side

2x^2 = 2*25                         Divide both sides by 2

x^2 = 25                               Take the square root of both sides.

x = 5

since the airplane is moving with constant speed then the distance travelled can be calculated by x=u*t

in km/h would be:

x=640*3.5=2.240 km

in m/s would be:

u=640 km/h= 640.000 m/h =640.000/ 3600 m/s =177.8 m/s

t= 3.5 h= 3.5 * 3600 s=12.600 s

then x=u*t= 177.8*12.600= 2.240.280 m