00:02
We have an isosceles triangle drawn and the base angles are 24 degrees, so 24 and 24, and we have a base of 28 centimeters.
00:23
We want to find the base angles of the isosceles triangle with the same base length with triple the area.
00:32
So i'm just going to draw a height and i know that 180 minus 24 minus 24 gives me 132 for my vertex angle.
00:47
That is going to get split in two, so 66 and 66.
00:53
I know that that altitude splits the base in half as well, so this is 66, and i can find my height using some trigonometry.
01:06
So tangent of 66 degrees equals 14 over h.
01:13
H is 14 divided by tan of 66, and that gives me a height of 6 .233.
01:25
Area is half base height, so my base is 28, and my height is 6 .233, and that gives me 87 .262.
01:50
So that's for my original triangle.
01:52
Now i have a second triangle and i want to find the base angles if i know the base length is the same, so this is still 28, but i have triple the area...