The areas of two similar triangles are 25 cm2 and 36 cm2respectively. If the perimeter of the second triangle is 24 cm, find the corresponding perimeter of the first triangle.
Answers
Answer:
16.7 cm
Step-by-step explanation:
Given that the two triangles are similar.
Area of first triangle is =25sq cm.
Area of the second triangle = 36 sq cm.
Ratio of the area of first triangle to area of second triangle =25 : 36= 25/36
Now perimeter of second triangle=24 cm
Therefore perimeter of first triangle =X.
Now,
X/24 = 25/36
36X = 24×25
X = (24×25) /36
X= 16.7 cm.
Perimeter of 1st triangle = 20 cm if areas of two similar triangles are 25 cm² and 36 cm² respectively and perimeter of 2nd triangle = 24 cm
Step-by-step explanation:
The areas of two similar triangles are 25 cm² and 36 cm² respectively
Properties of Similar Triangle
(Ratio of Sides)² = Ratio of Area
& Ratio of Perimeter = Ratio of Sides
=> (Ratio of Perimeter)² = Ratio of Area
=> ( K/24)² = 25 /36
=> ( K/24)² = 5² /6²
=> ( K/24)² = (5 /6)²
=> K/24 = 5/6
=> K = 24 * 5 / 6
=> K = 4 * 5
=> K = 20
Perimeter of 1st triangle = 20 cm
Similar Links :
If the ratio of the corresponding sides of two similar triangles is 2:3 then the ratio of their corresponding perimeter is
https://brainly.in/question/8119105
If perimeter of the two similar triangles are the in the ratio 5 : 4 then what is the ratio of their corresponding sides
https://brainly.in/question/7633761
The parallelograms pictured are similar figures. If the perimeter of the smaller parallelogram is 22 cm, find the perimeter of the larger parallelogram.
https://brainly.in/question/9017677