abc is an isosceles triangle with AC=BC if AB2 =2AC2 prove that ABC is a right triangle
Answers
Answered by
11
AB2=2AC2
AB2=AC2+AC2
AB2=AC2+BC2
therefore by converse of phythagoras
b=90
ABC is isoceles
skhadloya60:
sorry for lack of figure
Answered by
4
Answer:
The required condition for right triangle ΔABC is AB²=AC²+BC².
From the question, we are given AB²=2AC².
We need to split 2AC² to solve question.
If we split 2AC², we have AB²=AC²+AC².
Then by the given condition AC=BC, we have AC²=BC².
Therefore, AB²=AC²+BC², therefore, ΔABC is a right triangle
Step-by-step explanation:
Similar questions