Length of a side, possible triangle side

In summary, the conversation discusses a math problem from a book that has the individual, along with their family and friend, stumped. They are unsure if they should use a right triangle and the formula A² + B² = C² to solve the problem. The problem involves an isosceles triangle and requires finding the values of A and B. The steps to solve the problem are described, including adding 7 inches to half of the base of the triangle and finding the height using Pythagoras. The final values for A and B are given as 7.909 and 17.823 - h, respectively.
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  • #2
Tsroll said:
I have one question from my mathematics for machine technology book that has me stumped as well as my Father in-law, sister in-law and my accountant friend.

I wasn't sure if I was supposed to create a right triangle and use A² + B² = C²

Problem 18. B

http://s182.photobucket.com/user/da...1-499C-AF27-9DE175F5EF68_zps7ltszocb.jpg.html

First of all, you have to notice that the triangle is isosceles. This is important as the calculations wouldn't work out otherwise.

To find A, you need to add 7 inches to HALF of the base of the triangle.

To find B, you need to find the height of the triangle (if you draw in the height you will create two right-angle triangles, and you can use Pythagoras). Once you have the height of the triangle, subtract it from 17.823 inches.
 
  • #3
As the triangle is isosceles I believe $A=7+0.5\times 30.263$

and $B=17.823 - h$ where $h$ is the height of the triangle. Have a go at finding it.
 
  • #4
17.823 - √[(18.09)² - (30.263/2)²] = 7.909
 

FAQ: Length of a side, possible triangle side

What is a side in a triangle?

A side in a triangle is one of the three line segments that make up the boundaries of the shape. These sides are connected to each other at their endpoints, forming the three internal angles of the triangle.

How is the length of a side in a triangle calculated?

The length of a side in a triangle can be calculated using the Pythagorean theorem, which states that the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. Alternatively, it can also be calculated using trigonometric functions such as sine, cosine, or tangent.

Can any length be a side in a triangle?

No, not every length can be a side in a triangle. In order for a triangle to exist, the length of any one side must be less than the sum of the lengths of the other two sides. This is known as the Triangle Inequality Theorem.

What is the maximum possible length of a side in a triangle?

The maximum possible length of a side in a triangle depends on the lengths of the other two sides. However, in an equilateral triangle (where all three sides are equal), the maximum length of a side would be equal to the length of the other two sides.

How does the length of a side affect the shape of a triangle?

The length of a side in a triangle determines the size and shape of the triangle. For example, a longer side will create a larger triangle, while a shorter side will create a smaller triangle. Additionally, the relationship between the lengths of the sides also determines the type of triangle (e.g. equilateral, isosceles, scalene).

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