Question

Срочно помогите плиз!!!№1основа рівнобедреного трикутника =а а висота=h знайтибічу сторонусрочно помогите плиз!!!№2знайти радіус кола якщо катет вписаного в нього прямокутнього трикутника =5см а прилеглий до нього =45 градусів знайти радіус

Answer 1

№1 боковая сторона b  по теореме Пифагора (катеты треугольника h-высота и a/2)
b=корень(h^2+(a/2)^2)

Answer 2

Problem 1: Finding the Length of the Base of an Isosceles Triangle

To find the length of the base of an isosceles triangle, we need to know the length of the height and one of the equal sides. Let's assume the length of the height is h and the length of the equal sides is a.

The base of an isosceles triangle can be found using the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we can consider the isosceles triangle as a right triangle by drawing a perpendicular line from the top vertex to the base, creating two right triangles. The length of the base will be twice the length of one of the equal sides.

Let's calculate the length of the base using the given information.

Given: - Length of the height (h) = a - Length of one of the equal sides (a)

To find: - Length of the base

Solution: 1. Using the Pythagorean theorem, we can write the equation: a^2 = (a/2)^2 + h^2

2. Simplifying the equation: a^2 = a^2/4 + a^2 a^2 - a^2/4 = a^2/4 3a^2/4 = a^2/4

3. Cross-multiplying: 4 * 3a^2 = 4 * a^2 12a^2 = 4a^2

4. Dividing both sides by 4: 12a^2/4 = 4a^2/4 3a^2 = a^2

5. Taking the square root of both sides: √(3a^2) = √(a^2) √3 * a = a

6. Dividing both sides by a: √3 * a / a = a / a √3 = 1

7. Since √3 is not equal to 1, this equation does not hold true.

Therefore, there seems to be an error in the given information or the problem statement. Please double-check the values provided.

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