Answer:
the triangles are equivalent
Step-by-step explanation:
that's it
First, split the triangle into half.
So the angle 38 becomes 38/2=19.
So we know two angles in the triangle:
One is 19 degrees.
The other one is 90 degrees (marked red).
The angles in a right-angled triangle add up to 180 degrees.
So to find the x angle, we calculate it by:
180 - (90+19) = 71
(the sum of three angles) - (the sum of the two known angles) = unknown angle
So x = 71 degrees.
If the width of the cardboard = x cm then its length is given by x + 8 cm.
Then the length of the box will be x + 8 - 2(2) = x + 4
and the width = x - 2(2) = x - 4 cm The height is 2 cm
Volume = h*w*l = 2(x - 4)(x + 4) = 256
2(x^2 - 16) = 256
x^2 - 16 = 128
x^2 = 144
x = 12 cm
Dimensions of the box are:-
length = 12 + 4 = 16cm
width = 12 - 4 = 8 cm
height = 2 cm