Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

What type of triangle is formed by the side lengths below? 7cm 9cm 11cm A. Acute B. Right C. Obtuse D. Cannot form a triangle

Sagot :

Corsaquix

Answer:

A. Acute

Step-by-step explanation:

To start, determine whether you can form a triangle or not. In any triangle, the sum of any two sides must be greater than the third side. In this case, this holds true and we can definitely form a triangle.

Let [tex]c[/tex] be the longest side of the triangle and let [tex]a[/tex] and [tex]b[/tex] be the other two sides.

If [tex]a^2+b^2>c^2[/tex], the triangle is acute.

If [tex]a^2+b^2=c^2[/tex], the triangle is right.

If [tex]a^2+b^2<c^2[/tex], the triangle is obtuse.

Substituting given information:

[tex]7^2+9^2>11^2[/tex], therefore the triangle is acute.

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.