Answer: the perimeter of the larger triangle is 22 units
Step-by-step explanation:
The diagram of both triangles is shown in the attached photo. The isosceles triangles are triangle ABC and triangle DEF
Perimeter of triangle ABC = 11
For an isosceles triangle, the other two sides are equal. If one equal side is x, then the sum of the two equal sides is x+x = 2x
Perimeter of triangle = sum of the lengths of the 3 sides. Therefore,
11 = 5 + 2x
2x = 11-5 = 6
x = 6/2 = 3
The base of the similar triangle is 10. It means that it is 2 times the base of the smaller triangle. That means the scale factor is 2. Therefore,
If the perimeter of the small triangle is 11, the Perimeter of the larger triangle will be 2 × perimeter of the smaller triangle. This becomes
2 × 11 = 22 units.
It can also be determined by adding the length of each side
3×2 + 3×2 + 5×2 = 6+6+10 = 22 units
Answer:
9.17 feet
Step-by-step explanation:
Use the Pythogoras theorem, a^2 + b^2 = c^2
you are give c and b ( because one side is slanted, so c) so rearrange to get
c^2-b^2 = a^2
10^2 - 4^2 = 84
square root 84 to get
9.16515
bisect = to cut into two equal halves.
so from that theorem Juan used we can derive that once both diagonals bisect each other, the halves of AO = OC and DO = OB.
Answer:
The interest is $5.80
Step-by-step explanation:
Here, we want to
calculate the interest on $580 for 6 months at a rate of 2%
Mathematically, we use the formula;
I = PRT/100
As T is not up to a year, we did use by 12 which is 6/12 = 0.5
P = 580
R = 2%
Substituting these values in the interest formula, we have;
I = (580 * 2 * 0.5)/100 = $5.80