Similarity coefficient

The ratio of similarity of two equilateral triangles is 3.5 (ie 7:2). The length of the side of smaller triangle is 2.4 cm. Calculate the perimeter and area of ​​the larger triangle.

Result

p =  25.2 cm
S =  30.55 cm2

Solution:

p1=3a=32.4=7.2 S1=ah2=aa2(a/2)22=34a2=2.494 cm2 p=3.5p1=3.57.2=25.2  cm p _1 = 3a = 3 \cdot 2.4 = 7.2 \ \\ S_1 = \dfrac{ a h}{2} = \dfrac{ a \sqrt{ a^2-(a/2)^2} }{2} = \dfrac{ \sqrt{3}}{4}a^2= 2.494 \ cm^2 \ \\ p = 3.5 \cdot p_1 = 3.5 \cdot 7.2 = 25.2 \ \text{ cm }
S=3.52S1=3.522.494=30.55 cm2S = 3.5^2 \cdot S_1 = 3.5^2 \cdot 2.494 = 30.55 \ cm^2

Try calculation via our triangle calculator.




Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
See also our trigonometric triangle calculator.
Pythagorean theorem is the base for the right triangle calculator.

Next similar math problems:

  1. Triangle eq
    rs_triangle_1 Calculate accurate to hundredths cm height of an equilateral triangle with a side length 12 cm. Calculate also its perimeter and content area.
  2. Equilateral triangle v2
    eq_triangle Equilateral triangle has a perimeter 36 dm. What is its area?
  3. Triangle - is RT?
    triangle_3_angles Triangle has a circumference of 90 cm. Side b is 1 cm longer than c, side c is 31 cm longer than side a. Calculate the length of sides and determine whether triangle is a right triangle.
  4. Triangle
    heron1 Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. a = 158 b = 185 c = 201
  5. Triangle SAA
    triangle_blue The triangle has one side long 71 m and its two internal angles is 60°. Calculate the perimeter and area of the triangle.
  6. Triangle
    triangle_ABC_1 The triangle has known all three sides: a=5.5 m, b=5.3 m, c= 7.8 m. Calculate area of ​this triangle.
  7. Triangle
    trangle_nice Calculate heights of the triangle ABC if sides of the triangle are a=75, b=84 and c=33.
  8. Center traverse
    trianles It is true that the middle traverse bisects the triangle?
  9. ISO Triangle V2
    triangle_3 Perimeter of RR triangle (isosceles) is 474 m and the base is 48 m longer than the arms. Calculate the area of this triangle.
  10. Isosceles III
    demos The base of the isosceles triangle is 17 cm area 416 cm2. Calculate the perimeter of this triangle.
  11. Triangle SSS
    triangle_ABC Calculate perimeter and area of ​​a triangle ABC, if a=42, b=57 and c=42.
  12. Oil rig
    oil_rig_tower Oil drilling rig is 23 meters height and fix the ropes which ends are 7 meters away from the foot of the tower. How long are these ropes?
  13. The double ladder
    dvojity_rebrik The double ladder has 3 meters long shoulders. What is the height of the upper of the ladder reach if the lower ends are 1.8 meters apart?
  14. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  15. Calculation
    pocty How much is sum of square root of six and the square root of 225?
  16. Folded square
    square_folded ABCD is a square. The square is folded on the midpoint of AB and A is folded onto the fold, creating a shaded region. The perimiter of the shaded figure is 75. Find the area of square ABCD
  17. Square roots
    roots What is equal to the product of the square roots of 295936?