The base of an isosceles triangle is 5 and it's perimeter is 11. The base of a similar isosceles triangle is 10.What is the peri
meter of the larger triangle
2 answers:
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
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Hey!
To solve this problem, we would really have to graph both equations.
<em>OPEN THE FIRST IMAGE</em>
The first image I provided was the image of this equation graphed: <span>y=2x+1
<em>OPEN THE SECOND IMAGE</em>
The second image I provided was the image of this equation graphed: </span><span>y=2x^2+1
<em>PLEASE DO NOT LOOK AT THE THIRD IMAGE YET!</em>
The first image has two points. One at ( -0.5, 0 ) and the other at ( 0, 1 ).
The second image has only one point, which is at ( 0, 1 ).
<em>OPEN THE THIRD IMAGE</em>
Now, when both are combined we see that they intersect at two points, which are ( 0, 1 ) and ( 1, 3 ).
So, our answer is...
<em>The ordered pairs that are the solution to the system are</em> </span><span>( 0,1 ) and ( 1,3 ).
Hope this helped!
- Lindsey Frazier ♥</span>
To solve this problem, we would really have to graph both equations.
<em>OPEN THE FIRST IMAGE</em>
The first image I provided was the image of this equation graphed: <span>y=2x+1
<em>OPEN THE SECOND IMAGE</em>
The second image I provided was the image of this equation graphed: </span><span>y=2x^2+1
<em>PLEASE DO NOT LOOK AT THE THIRD IMAGE YET!</em>
The first image has two points. One at ( -0.5, 0 ) and the other at ( 0, 1 ).
The second image has only one point, which is at ( 0, 1 ).
<em>OPEN THE THIRD IMAGE</em>
Now, when both are combined we see that they intersect at two points, which are ( 0, 1 ) and ( 1, 3 ).
So, our answer is...
<em>The ordered pairs that are the solution to the system are</em> </span><span>( 0,1 ) and ( 1,3 ).
Hope this helped!
- Lindsey Frazier ♥</span>