Two triangles aresimilar. The length of a side of one of the triangle is 6times that of the corresponding sides of the other. Find the ratio of the perimeter and the area of the triangle

--- of perimeters

--- of areas

Step-by-step explanation:

Given

Represent the sides of the first triangle with x, y and z

The sides of the second triangle will be 6x, 6y and 6z

Solving (a): Ratio of perimeter.

The perimeter of the first is:

The perimeter of the second is:

Factorize:

The ratio is:

Cancel out x + y + z

Solving (a): Ratio of Areas.

If the height of the first is h and the base is b.

The height of the second will be 6h and the base, 6b.

The area of the first is:

The area of the second is:

The ratio is:

Divide by 0.5bh

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation:

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