I and my friends are still confused on how to even start this question. This question is expected to be difficult as it was the final question in the paper. Does this question need congruency? I feel like it does, thanks if you do share a solution!
I and my friends are still confused on how to even start this question. This question is expected to be difficult as it was the final question in the paper. Does this question need congruency? I feel like it does, thanks if you do share a solution!
Area is 1/2 base x height. Let's say AB is the base of each triangle then I have shown the perpendicular heights below:
What can you say about the two lines I've drawn? Then what can you infer from that?
This is a tough question so don't worry if you still can't do it. Please post your working / thoughts if you get stuck.
What can you say about the two lines I've drawn? Then what can you infer from that?
Ahh. Since I know that the areas of both triangles are the same I know that AX = BY and BX = AY, right? We also know that AB is shared in both triangles meaning that this triangle is, therefore, congruent due to SSS? But I don't get anywhere, I think. I need another hint, maths lord 'notnek' from the other side of the internet :P
Ahh. Since I know that the areas of both triangles are the same I know that AX = BY and BX = AY, right? We also know that AB is shared in both triangles meaning that this triangle is, therefore, congruent due to SSS? But I don't get anywhere, I think. I need another hint, maths lord 'notnek' from the other side of the internet :P
I am sorry. I don't think you can assume AX=BY and BX=AY due to the areas of the two triangles being the same.
Ahh. Since I know that the areas of both triangles are the same I know that AX = BY and BX = AY, right? We also know that AB is shared in both triangles meaning that this triangle is, therefore, congruent due to SSS? But I don't get anywhere, I think. I need another hint, maths lord 'notnek' from the other side of the internet :P
No that's not right. I'm not sure if you've considered the two lines I drew - these are the heights of the two triangles that have equal area.
You know that the areas of these two triangles are the same and they share the same base so what can you say about the two heights I drew?
I'm not sure which papers you've done in school but I've seen equally hard questions in a lot of the specimen / mock papers issued by the exam boards. This is the hardest one I've seen so far.
I think there's a good chance that there will be a very challenging question in one of the three 9-1 papers that less than 1% of the country can do.