3 years ago

Answer correctly please !!!!!!!!!!! Marking Brianliest !!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

ElenaW [278]3 years ago

7 0

Answer:

The third side is 2√14

Step-by-step explanation:

The third side is found using Pythagorean theorem

=√(√92)²-(6)²

=√92-36

=√56

=2√14

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The proof that the area of the trapezium is 2x² + x -351 = 0 can be seen in the image attached below.

<h3>What is a trapezium?</h3>

A trapezium is a quadrilateral that has a pair of opposite parallel sides.

From the given diagram:

The area of the trapezium can be computed as;

$\mathbf{= \dfrac{1}{2} \times (sum \ of \ the \ parallel \ sides) \times height }$

$\mathbf{351= \dfrac{1}{2} \times (x-4 + x +5) \times 2x }$

$\mathbf{351= \dfrac{1}{2} \times (2x+1) \times 2x }$

$\mathbf{351= (2x+1) \times x }$

351 = 2x² + x

2x² +x - 351 = 0 : Proved

Learn more about the area of trapezium here:
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