Question

the perimeter of two similar triangles are 26cm and 39cm .find the ratio of their area​

Answer 1

Answer:

4/9

Step-by-step explanation:

A1/A2 = (P1/P2)² = (26/39)²

A1/A2 = (2/3)²

= 4/9

Hence, the ratio of their areas will be 4/9.

Answer 2

Given data: 26cm and 39cm

To find: Ratio of their area

Solution:

• Perimeter of triangle is define as the sum of all side of triangle.
• The formula of perimeter is a + b + c.
• According to the given statement the perimeter of two similar triangles are 26cm and 39cm.
• Perimeter of one triangle is a + b + c = 26 and the other triangle is l + m + n = 39.
• According to the formula, area of one triangle is divided by area of another triangle = $(\frac{p_{1} }{p_2} )^2$.
• Substituting the value of $p_{1}$ and $p_2$ we get, $(\frac{26}{39} )^2$. Simplifying this form finally we have $(\frac{2}{3}) ^2$.
• Hence the ratio of their area is 4:9.