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Triangle

Given two sim...

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Given two similar triangles one of which has twice the perimeter of the other, by what factor is the area of the larger triangle bigger than the smaller ?

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Q. Given two similar triangles one of which has twice the perimeter of the other, by what factor is the area of the larger triangle bigger than the smaller ?

Match the following based on the construction of similar triangles, if scale factor ( $\frac{m}{n}$ ) is

I. >1

II. <1

III. =1

a) The similar triangle is smaller than the original triangle.

b) The two triangles are congruent triangles.

c) The similar triangle is larger than the original triangle.

Q. The perimeter of a triangle is

50 c m

. One side of the triangle is

4 c m

longer than the smaller side and the third side is

6 c m

less than twice the smaller side. Find the area of the triangle.

Q. The side of the smaller triangle, out of the two similar triangles are

4 c m, 5 c m

6 c m

respectively. If the perimeter of the larger triangle is

90 c m

, then what are the lengths of the sides of the larger triangle?

Q. Question 2
The perimeter of a triangle is 50cm. one side of a triangle is 4cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. Find the area of the triangle.

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