Question

These two scalene triangles are similar with a scale of 5:2. What is true about these figures?

Answer 1

Answer:

this both triangles are isosceles triangle.

Answer 2

Given:

2 scalene triangles are similar with a scale of 5:2

To Find:

What is true about these figure.

Explanation:

Triangles are similar have the same shape, but may be of different sizes.

Solution

Fact 1: Corresponding angles are congruent

Each of the angle on one of the triangle will correspond to the an angle in the other triangle.

Fact 2: Corresponding sides are all in the same proportion

In this case, the scale given is 5 : 2.

One length side of the triangle will be 5/2 the corresponding length of the other triangle.

Fact 3: Their area are also in a proportional ratio

The scale of the length is given as 5 : 2

The ratio of their area will be (5/2)²

⇒ The ratio of their area =  25/4

⇒ The ratio of their area =  25 : 4