Find the value of x for which ABCD must be a parallelogram. 24 2 6 12
2 answers:
Answer: x = 2
Concept:
There are many properties for parallelograms, however, here, we need to focus on one property about diagonals.
Diagonals of a parallelogram bisect each other.
Solve:
<u>Given information</u>
One side of the diagonal = 6x
The other side of diagonal = 2x + 8
<u>Given expression deducted from the property of parallelogram</u>
One side = Other side
<u>Substitute values into the expression</u>
6x = 2x + 8
<u>Subtract 2x on both sides</u>
6x - 2x = 2x + 8 - 2x
4x = 8
<u>Divide 4 on both sides</u>
4x / 4 = 8 / 4
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Answer:
The total surface area of triangular pyramid is 172 cm squared
Step-by-step explanation:
Triangular pyramid:
- Number of faces 4.
- Number of vertices of a triangular pyramid is 6.
- The volume is
. A= area of the pyramid's base and H= height of the pyramid.
- The surface area of triangular pyramid B+L. B= area of base, L= area of lateral surface.
Given that, the area of the base is 43 cm squared. Lateral faces with bases of 10 cm and heights 8.6 cm.
The 3 sides of the triangular pyramid is triangle in shape.
The area of triangle is .
The lateral surface area of the triangular pyramid is
cm squared
=129 cm squared
The total surface area of triangular pyramid is
=Area of the base + lateral surface area
=(43+129) cm squared
=172 cm squared