If a right isosceles triangle has an area of 192 cm squared, what is the height of the triangle?

the perimeter of the isosceles triangle is 64cm

Step-by-step explanation:

if the base is 24

Area = (base x height)/2, thus height = 2 (area/base)                

height = 2(192/24)

Which gives you 40

height = 16 cm  

the height and half of the base will give you two identical rightangle halves of the triangle, use pythagorean theorem to get the length of the hypotenuse of the 2 identical halves

a^2 + b^2 = c^2

12^2 + 16^2 = c^2

144 + 256 = c^2

(square root)400 = c

20 cm = c

there are 2 of these hypotenuses in the original triangle, so add the base and the 2 "hypotenuses" to get the perimeter

P = 20 + 20 + 24  

P = 64 cm

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22   this is the first item in the sequence

d =6   this is how the sequence goes up

a)   an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

    a12 = 22+11*6

  a12 = 22 +88

  a12 = 110

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation: