Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our 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.

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.