An equilateral triangle XZY has sides of length 10 cm - Junior Cycle Mathematics - Question 8 - 2021
Question 8
An equilateral triangle XZY has sides of length 10 cm.
(a) Write down the size of each angle in the triangle.
(b) Work out the length of the perimeter of the trian... show full transcript
Worked Solution & Example Answer:An equilateral triangle XZY has sides of length 10 cm - Junior Cycle Mathematics - Question 8 - 2021
Step 1
Write down the size of each angle in the triangle.
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
In an equilateral triangle, all angles are equal. Therefore, each angle in triangle XZY measures:
180extoimes31=60exto
Thus, the sizes of each angle are 60°.
Step 2
Work out the length of the perimeter of the triangle XZY. Give your answer in cm.
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The perimeter of a triangle is the sum of the lengths of its sides. Since triangle XZY is equilateral with each side measuring 10 cm, the perimeter is:
10extcm+10extcm+10extcm=30extcm
The perimeter of triangle XZY is 30 cm.
Step 3
Construct the triangle XZY in the space below. Show all of your construction lines clearly.
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To construct the equilateral triangle XZY:
Draw a line segment XY of length 10 cm.
Using a compass, place the pointer at point X and draw an arc with a radius of 10 cm.
Without changing the compass width, place the pointer at point Y and draw another arc. The intersection defines point Z.
Connect points Z to X and Z to Y to complete the triangle.
Make sure all lines are clear and accurately drawn.
Step 4
Fill in the table below to show which point the counter is at after each flip of the coin.
98%
120 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Start at point X.
After the 1st flip (H), move to Y (1 side)
After the 2nd flip (H), move to Z (1 side)
After the 3rd flip (H), move to X (1 side)
After the 4th flip (T), move to Z (2 sides)
The completed table is:
Outcome of flip (H or T)
Number of sides the counter moves
After this flip, the counter is at:
Start
-
X
1st flip
1
Y
2nd flip
1
Z
3rd flip
1
X
4th flip
2
Z
Join the Junior Cycle students using SimpleStudy...
