Question

1. # Find The Lengths Of The Missing Sides In The Triangle Write Your Answers As Integers Or As Decimals

Dealing with triangle sides can be tricky. You need to know how to find the lengths of the missing sides and how to write your answers as integers or decimals. Fortunately, this blog post will provide you with a comprehensive guide on how to do just that! Whether you’re a geometry ace, looking to brush up on your skills, or just starting out on the subject, we’ve got you covered. Dive right in and learn everything you need to know about finding the lengths of missing sides in a triangle and writing it down as an integer or decimal.

## What is the Pythagorean Theorem?

The Pythagorean Theorem is a statement in mathematics that states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

## How to use the Pythagorean Theorem to find missing sides in a triangle

If you need to find the length of a missing side in a triangle, you can use the Pythagorean Theorem. This theorem states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. In other words, if you know the lengths of two sides in a right angled triangle, you can use this theorem to calculate the length of the third side.

To use the Pythagorean Theorem to find missing sides in a triangle, start by identifying which side you want to find. This will be the hypotenuse if you are given the lengths of two other sides, or one of the shorter sides if you know the length of both the hypotenuse and another shorter side. Once you have identified which side you want to find, write down or remember the lengths of the other two sides.

Next, use the equation from the Pythagorean Theorem that corresponds to finding your desired side. If you want to find the hypotenuse, use: c^2 = a^2 + b^2 . If you want to find Side A or Side B (the shorter sides), use: a^2 = c^2 – b^2 or b^2 = c^2 – a^2 .

Finally, plug in your known values and solve for your missing side. Remember to square any values that are being squared in your equation and also

## Examples of finding missing sides in a triangle using the Pythagorean Theorem

If you know the length of two sides of a right triangle, you can use the Pythagorean Theorem to find the length of the third side. The theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side, which is also known as the hypotenuse. This theorem is represented by the equation:
a^2 + b^2 = c^2

To use this equation, you will need to know at least two side lengths in order to solve for the missing side. For example, if you know that Side A is 3 and Side B is 4, you can plug those values into the equation like so:
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
Since c cannot be negative, we know that Side C must be 5. You can verify this by plugging 5 back into our original equation:
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25 Which checks out!

If you’re unsure whether to write your answer as an integer or decimal, there is a simple way to determine which is best. First, look at the question and identify the measurement that is being asked for – this will be either length, width, or height. Next, take a look at the other two measurements given in the question.

If both of these measurements are integers (whole numbers), then it is likely that the answer should be written as an integer as well. However, if one or both of the other measurements are decimals, it is likely that the answer should be given as a decimal too.

For example, let’s say we are asked to find the length of Side C in the following triangle:

A = 3 B= 4 C= ?

Both A and B are integers, so we would expect Side C to also be an integer. In this case, our answer would be 5 (3+4=7, so 7-2=5).

Now let’s look at another example:

A = 2.5 B = 4 C = ?

Here, A is a decimal value, so it is likely that Side C will also be a decimal. In this case our answer would be 3.5 (2.5+4=6.5, so 6.5-1=3.5).

## Conclusion

In this article, we explored how to find the lengths of the missing sides in a triangle. We broke down the process step-by-step and provided several examples for further practice. By understanding key concepts such as Pythagorean Theorem, Sine Law and Cosine Law, you should now be able to confidently calculate all three sides of any triangle given two side lengths or two angle measurements. Good luck!

2. Ever looked at a triangle and wondered what the length of the missing sides is?

It’s a common problem faced by mathematicians and geometry enthusiasts alike. But fear not – finding the lengths of missing sides can be achieved fairly easily. All you need to know is the length of two of the sides, as well as the size of the angles.

Let’s look at an example. Say you’ve got a triangle with side A being 8cm, side B being 7cm, and angle C being 90 degrees. To find the length of the missing side, you’ll need to use trigonometry.

Using the law of sines, you can calculate that side C is 8.81cm (or 8cm if you’re working with integers).

If you’re using the law of cosines, you’ll find that side C is 8.24cm (or 8cm if you’re working with integers).

So there you have it! With just two known sides and the size of one angle, you can easily find the length of the missing side.

It’s important to remember that you should always round your answers to the nearest whole number or decimal when working with integers or decimals.

Now that you know how to calculate the length of the missing sides, why not give it a try?