Question

Найдите отношение площадей двух треугольников,если стороны одного равны 5см,8см,12см,а стороны другого 15 см,24 см,36с Найдите отношение площадей двух треугольников,если стороны одного равны 5см,8см,12см,а стороны другого 15 см,24 см,36см. ТОЛЬКО С РЕШЕНИЕМ И ОБЪЯСНЕНИЕМ!

Answer 1

треугольники подобны, так как их стороны пропорциональны

15:5=24:8=36:12

По 3 признаку подобия треугольников.

 

15:5=3

k=3

Отношение площадей данных треугольников равно

К^=9

Отношение площадей=9:1

 

 

Answer 2

отношение площадей треугольников равно квадрату отношения сторон 
вот и решай

 

Answer 3

Finding the Ratio of Areas of Two Triangles

To find the ratio of the areas of two triangles, we can use the formula:

Area = (1/2) * base * height

Let's calculate the areas of the two triangles using the given side lengths and then find their ratio.

For the first triangle with side lengths 5 cm, 8 cm, and 12 cm: - Using Heron's formula to find the area: - Semi-perimeter, s = (5 + 8 + 12) / 2 = 25/2 = 12.5 - Area = √(s(s-5)(s-8)(s-12))

For the second triangle with side lengths 15 cm, 24 cm, and 36 cm: - Using Heron's formula to find the area: - Semi-perimeter, s = (15 + 24 + 36) / 2 = 75/2 = 37.5 - Area = √(s(s-15)(s-24)(s-36))

Let's calculate the areas and then find the ratio of the areas of the two triangles.

Calculation and Ratio

For the first triangle: - Semi-perimeter, s = (5 + 8 + 12) / 2 = 25/2 = 12.5 - Area = √(12.5(12.5-5)(12.5-8)(12.5-12)) - Area ≈ 19.81 cm²

For the second triangle: - Semi-perimeter, s = (15 + 24 + 36) / 2 = 75/2 = 37.5 - Area = √(37.5(37.5-15)(37.5-24)(37.5-36)) - Area ≈ 178.97 cm²

Now, let's find the ratio of the areas of the two triangles: - Ratio = Area of the second triangle / Area of the first triangle - Ratio ≈ 178.97 / 19.81 - Ratio ≈ 9.03

Conclusion

The ratio of the areas of the two triangles, with side lengths 5 cm, 8 cm, 12 cm, and 15 cm, 24 cm, 36 cm, respectively, is approximately 9.03.