rmelaniem
Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Can a triangle be both acute and isosceles? Justify your reasoning.

Sagot :

perezkhristine

Answer:

No. There can be an obtuse angle or a right-angle in an isosceles triangle.

Step-by-step explanation:

Explanation:

No. You can three types of isosceles triangles:

acute-angled isosceles triangle

All the angles are acute and the base angles are equal.

eg:  

75 ° , 75 ° , 30 °

 or  

50 ° , 50 ° , 80 °

right-angled isosceles triangle

One angle is  90 °  and the other two are both  45 °

45 ° , 45 ° , 90 °

   ←    

(like one of the usual set squares)

obtuse-angles isosceles triangle

One angle is obtuse and the base angles are equal.

eg:  

30 ° , 30 ° , 120 °

 or  

25 ° , 25 ° , 130 °

Ofcourse there can only be one  90 °

or

one obtuse angle in a triangle. The other two angles MUST be acute, else the sum would be more than  180 °

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.