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IRISSAK [1]
3 years ago
6

4. If the sides of a square measure 9V3 units, then find the length of the diagonal.

Mathematics
1 answer:
Nitella [24]3 years ago
7 0

Answer:

Step-by-step explanation:

To find the diagonal, use Pythagorean theorem,

diagonal² = side² + side²

                = (9√3)² + (9√3)²

                = 9²(√3)² + 9²(√3)²

                = 81*3 + 81*3

                = 243 + 243

                 = 486

diagonal = √486 = 22.05 units

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The largest angle is E = 205°.

<h3>What is a pentagon?</h3>
  • A pentagon is any five-sided polygon or 5-gon in geometry.
  • A basic pentagon's internal angles add up to 540°.
  • A pentagon might be straightforward or self-intersecting.
  • A pentagram is a self-intersecting regular pentagon (or a star pentagon).

To find the measure of the largest angle:

The sum of interior angles of a polygon is:

  • Sum = 180° × (n - 2)

Where n is the number of sides.

Here n = 5, as pentagon has 5 sides.

  • Sum = 180° × 3 = 540°

Let, C = D = x

Then, E = 2x + 15 (15 more than twice C)

We can express the sum of the 5 angles as:

  • 60 + 85 + x + x + 2x + 15 = 540

Simplify the left side by collecting like terms:

  • 4x + 160 = 540

Subtract 160 from both sides:

  • 4x + 160 - 160 = 540 - 160
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Divide both sides by 4:

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  • E (2 × 95) + 15 = 205°

The 5 interior angles of the pentagon are:

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The largest angle is E = 205°.

Therefore, the largest angle is E = 205°.

Know more about a pentagon here:

brainly.com/question/25917702

#SPJ4

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