Question 326708
8x8x6 tells you it is isosceles.


An isosceles triangle can be ‘sliced down the middle between the two equal sides to make two equal right angled triangles.


Let 6 be the base and 8 be the two equal sides pointing up. Here you would have two right angled triangles with a base 3 and a hypotenuse 8 so using Pythagoras you can work out the height is the square root of 64 minus 9 = 55^0.5.


Therefore the height is 55^0.5 and the area of the full triangle (not the half sized triangles which are right-angled)

= 0.5 times 6 times 55^0.5 = 3 times 55^0.5


From this you can work out the height if one of the equal sides (8cm) was the base instead of the different side (6cm).

Area = 3 times 55^0.5 = 0.5 times 8 times height = 4 times height

Therefore height when the base is 8 = 0.75 times 55^0.5


So the two possibilities are:

Base 6; height 55^0.5

Base 8; height 0.75 times 55^0.5


I hope this explains without diagrams.