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Citrus2011 [14]
3 years ago
7

John made a triangle with all three sides the same length, 1 \frac{2}{3} ft. What is the perimeter of the triangle?

Mathematics
1 answer:
UNO [17]3 years ago
7 0

Answer:

5 ft

Step-by-step explanation:

If all sides are of the same length, we can multiply the value of one side by 3, because a triangle has three sides (and the perimeter is all sides added together), to find the perimeter.

1\frac{2}{3} × 3

1\frac{2}{3} can be rewritten as \frac{5}{3}, so:

\frac{5}{3} × \frac{3}{1}

= \frac{15}{3}

The numerator & denominator share a common factor of 3, so:

5 ft is the final answer/perimeter.

hope this helps!

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Edit: I figured it out, it's 14+7(sqrt sign) 2
Anettt [7]

Answer:

Perimeter = 14 + 7\sqrt{2}

Step-by-step explanation:

Given:

Area of the square = 49 in²

Required

Determine the perimeter of the one of the congruent triangles

First, we'll determine the length of the square;

Area = Length * Length

Substitute 49 for Area

49 = Length * Length

49 = Length^2

Take Square root of both sides

7 = Length

Length = 7

<em>When the square is divided into two equal triangles through the diameter;</em>

<em>2 sides of the square remains and the diagonal of the square forms the hypotenuse of the triangle;</em>

Calculating the diagonal, we have;

Hypotenuse^2 = Length^2 + Length^2 -- Pythagoras Theorem

Hypotenuse^2 = 7^2 + 7^2

Hypotenuse^2 = 2(7^2)

Take square root of both sides

Hypotenuse = \sqrt{2} * \sqrt{7^2}

Hypotenuse = \sqrt{2} * 7

Hypotenuse = 7\sqrt{2}

The perimeter of one of the triangles is the sum of the 2 Lengths and the Hypotenuse

Perimeter = Length + Length + Hypotenuse

Perimeter = 7 + 7 + 7\sqrt{2}

Perimeter = 14 + 7\sqrt{2}

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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