A bridge is covered with triangular panels to keep the kids from looking down and getting scared. If there are seven panels on each side (length of 1.7 meters) of the bridge, find the total area.

Question

Find the total area to cover the bridge. Each panel is an isosceles triangle. B is 70 degrees.

Answer 1

Dropping the height from the 70 degree angle at the top, there are two congruent right triangles formed, by HL.

The base of each is 0.85.

h=height = 0.85 * tan 55 = 1.428148006742115026184849985

The area of each triangle is then 1/2 * 1.7 * h = 0.85 * h = 1.0318369348711777278110468554114...

Since there are 14 of them, 14.44571708819648818935465597576

Answer 2

If these triangles are "isosceles" or "equalateral"; There is 4 from 1 end of the bridge to the other. 3 are placed on each side into the outer rows. So the length is 4*1.7=6.8m.

As for area; =2*height of the triangle*4*base.