Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

In a triangle, its midsegment is (2x + 8) units long and its parallel side is (5x - 9) units long. How long is the midsegment?

Sagot :

Answer:

The midsegment is 58 units long.

Step-by-step explanation:

Midsegment Theorem:

It states that the length of the midsegment is half the length of the parallel side.

In this question:

Midsegment: 2x + 8

Parallel side: 5x - 9

Parallel side is double the midsegment. So, we use this to find x:

[tex]5x - 9 = 2(2x + 8)[/tex]

[tex]5x - 9 = 4x + 16[/tex]

[tex]x = 25[/tex]

Midsegment:

[tex]2x + 8 = 2(25) + 8 = 50 + 8 = 58[/tex]

The midsegment is 58 units long.

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.