Question

Знайдіть кути трикутника, якщо вони пропорційні числам 3 : 5 : 7. СРОЧНО​

Answer 1

<1=3х; <2=5х; <3=7х; <1+<2+<3=180°; 3х+5х+7х=180; 15х=180; х=180/15=12; <1=3х=3*12=36°; <2=5х=5*12=60°; <3=7х=7*12=84°. Ответ: 36°; 60°; 84°.

Answer 2

Finding the Angles of a Triangle Proportional to 3 : 5 : 7

To find the angles of a triangle when they are proportional to the numbers 3, 5, and 7, we can use the concept of similar triangles. In similar triangles, the ratio of corresponding sides is equal to the ratio of their corresponding angles.

Given that the angles of the triangle are proportional to 3 : 5 : 7, we can use these ratios to find the measures of the angles.

Let's denote the angles of the triangle as A, B, and C, and the ratios as 3x, 5x, and 7x, where x is a constant.

Calculating the Angles

Using the ratios 3x : 5x : 7x, we can calculate the value of x by adding the ratios together and setting the sum equal to 180 degrees, which is the total measure of the angles in a triangle.

So, we have: 3x + 5x + 7x = 180 15x = 180 x = 12

Now that we have the value of x, we can find the measures of the angles: - Angle A = 3x = 3 * 12 = 36 degrees - Angle B = 5x = 5 * 12 = 60 degrees - Angle C = 7x = 7 * 12 = 84 degrees

Conclusion

Therefore, the angles of the triangle, when they are proportional to the numbers 3 : 5 : 7, are 36 degrees, 60 degrees, and 84 degrees.