Question

В РАВНОБЕДРЕННОМ ТРЕУГОЛЬНИКЕ авс К ОСНОВАНИЮ ас ПРОВЕДЕНА ВЫСОТА вд. РАВНАЯ 8 СМ. нАЙДИТЕ ПЕРИМЕТР ТРЕУГОЛЬНИКА вдс, ЕСЛИ ПЕРИМЕТР ТРЕУГОЛЬНИКА авс РАВЕН 38 СМ

Answer 1

Треугольник авс-равнобедренный, значит ав=вс
ад=сд, т.к. в равнобедренном треугольнике высота, проведенная к основанию, является и медианой и биссектрисой.
угол вас=углу вса , т.к. в равнобед. треугольнике углы при основании равны.
Получается треугольник авд= треугольнику свд (по 2-ум сторонам и углу между ними)
Р вдс= Р вда , значит Р вдс = Р авс / 2 
Р вдс= 38 / 2 = 19 см

Answer 2

Finding the Perimeter of Triangle VDS

To find the perimeter of triangle VDS, we can use the information provided about the isosceles triangle and the height. Let's calculate the perimeter step by step.

Given: - Height VD = 8 cm - Perimeter of triangle AVS = 38 cm

First, let's find the length of side VS using the height VD and the base AS of the isosceles triangle.

The area of triangle VDS can be calculated using the formula: \[ Area = \frac{1}{2} \times base \times height \]

From the given information, we can calculate the area of triangle VDS using the height VD and the base AS.

\[ Area = \frac{1}{2} \times AS \times 8 \]

Now, let's use the area of triangle VDS to find the length of side VS.

Next, we can use the perimeter of triangle AVS to find the lengths of sides AS and VS.

Finally, we can calculate the perimeter of triangle VDS using the lengths of sides VS, VD, and DS.

Let's proceed with the calculations based on the given information and formulas.

Calculations:

1. Calculate the area of triangle VDS using the height VD and the base AS. 2. Use the area of triangle VDS to find the length of side VS. 3. Use the perimeter of triangle AVS to find the lengths of sides AS and VS. 4. Calculate the perimeter of triangle VDS using the lengths of sides VS, VD, and DS.

Area of Triangle VDS:

\[ Area = \frac{1}{2} \times AS \times 8 \]

Length of Side VS:

The length of side VS can be calculated using the area of triangle VDS and the height VD.

Lengths of Sides AS and VS:

We can use the perimeter of triangle AVS to find the lengths of sides AS and VS.

Perimeter of Triangle VDS:

Finally, we can calculate the perimeter of triangle VDS using the lengths of sides VS, VD, and DS.

Let's proceed with the calculations based on the given information and formulas to find the perimeter of triangle VDS.