
K16
- Hi
Hello!
How can I help you today?
- can u help me with this qn?
Sure
- The 3 triangles are equilateral triangles, find length AB
Any other information to share?
- no
Ok, let me take a look at this question.
Oh, this is a tricky question. Let me guide you step-by-step.
- ok
Refer to the diagram below instead
so, to make the explanation easier
I have labelled all the points on the triangle.
- ok
For a start
Let's compare AC and DG
Let's compare AC and DH
What can you tell from these 2 length?
- they are equal?
Actually the 2 lengths are equal.
Yes, you are right.
But why are they equal?
You can see that CD is the part that is overlapping
So this tells us that DH = 18 cm as well :)
- so like if u flip the triangle DH is like AC
Yes! That's right!
Next, we need to find the length HJ
I highlighted it in orange
- so is just 41-18?
Yes! That's correct.
So we find the length of HJ, which is 23 cm.From the information we found, i have updated the image here :)
- ohhh i got it
Do you know how to find the length of AB?
- AB = GJ = 23+3 = 26cm
- right?
Well done!
- yay!
That's the correct answer :)
- i have another qn with the same diagram tho
?
- can u help?
What's your question?
- i need to find the perimeter of the shaded areas
That's easy. You might not need my help on that ;)
Let me give you a clue
Find the length of CD
Since it is an equilateral triangle
- 26-18?
Bingo!
That's 6 cm
8 cm
Not 6 cm, my bad on that :)
- but CE is also 8?
- or the small triangles are not equal?
yes, CE is also 8 cm
the small triangles are also equilateral triangles
- oh
Look at this diagram here
- i got it
Add up the sides of the shaded parts and you should get the answer :)
What's your answer?
Did you get 145 cm?
- yes
Well done!
Hope I managed to help you understand how to solve the question
I will see you around
Goodbye!!
- thank you
- byebye