The right angles triangle has three sides including the hypotenuse which is opposite to the right angle.
If the hypotenuse - H
Then one side is - H - 2
Third side is 7 cm shorter then H-2
Therefore it’s H -2-7 = H -9
According to Pythagoras theorem
Square of hypotenuse = sum of the squares of the other 2 sides
H² = (H-9)² + (H-2)²
H² = H² -18H + 81 + H² -4H + 4
0 =H² -22H +85
This is a quadratic equation
0 = H² - 17H -5H +85
0 = H (H - 17) -5(H-17)
(H-17) (H-5) =0
H -17=0 or H-5=0
H could be 17 cm or 5 cm
If H =5 cm then
Side 1 -H-2 = 3 cm
And side 2 - H-9 = -4 cm
Since lengths cannot be negative values
H isn’t 5 cm
Therefore H =17 cm
1 side is H-2 = 15 cm
2nd side H -9 = 8 cm
Three sides are 17 cm, 15 cm and 8 cm
Here ya go ^v^ try to use math.way
I hope this helps
Ya have a wonderful day ^v^
4/9+5/9= all the pics
45 divided by 9 = to 5
(5/9)
so...
4*9=36
i m almost positive
Answer:
See attached
Step-by-step explanation:
Table filled in, see picture
- The first column contains points with coordinates (x, y)
- The second column contains the rule (x + (-4), y + 2)
- The third column is obtained by applying the rule. Showing this for one of the vertices:
- Q: (1, 4)
- Apply rule: (1 + (-4), 4 + 2) = (1 - 4, 6) = (-3, 6)
- Get coordinates of Q' from previous step: (-3, 6)
So you get Q'(-3, 6) from Q(-1, 4) by applying the rule (x + (-4), y + 2).
Same steps for other vertices done and shown in the table.
Hope it is more clear.