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elena-s [515]
3 years ago
13

The perimeter of a triangle is

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer:

Side\ 3 = 6x - 7

Step-by-step explanation:

Given

Perimeter = 17x - 5

Side\ 1 = 3x + 5

Side\ 2 = 8x - 3

Required

Determine the length of the third side

The perimeter of a triangle is calculated as thus:

Perimeter = Side\ 1 + Side\ 2 + Side\ 3

Substitute values for Perimeter, Side 1 and Side 2

17x - 5 = 3x + 5 + 8x - 3 + Side\ 3

Collect Like Terms

17x - 5 = 3x + 8x + 5 - 3 + Side\ 3

17x - 5 = 11x + 2 + Side\ 3

Solve for Side 3

Side\ 3 = 17x - 11x - 5 - 2

Side\ 3 = 6x - 7

<em>Hence, the length of the third side is 6x - 7 units</em>

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AveGali [126]

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Step-by-step explanation:

Step 1: Sketch the problem as shown in the attached image.

The problem can be solved using Pythagoras theorem since the sketch is a right angled triangle.

It follows the equation x² + y² = 15².

The distance covered by Greg is given by <em>x mi</em>, and that of Erin is given by <em>y mi</em>.

Step 2: To derive the distance covered by Erin and Greg, we use the formula <em>Speed = distance ÷ time.</em>

Which by cross-multiplying gives <em>distance = speed × time</em>.

Let time taken to cover the distance be <em>t h</em>.

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Hence, distance covered by Greg, x = 7 × t = 7t.

Distance covered by Erin, y = 9 × t = 9t.

Step 3: Insert the terms x and y into the Pythagoras equation x² + y² = 15² and solve for <em>time t.</em>

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t = 1.3hr

Hence the time at which the distance between the two is 150 miles is 1.3 hr.

4 0
3 years ago
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