Question

perimeter of triangle two similar 35 and 45 find the ratio of their area​

Answer 1

Answer:

787.5

Explanation:

perimeter of triangle two similar therefore , H=35 and B=45

formula =A= (H×B) ÷2

= (35×45) ÷2

=(1575)÷2

= 787.5

Answer 2

Answer:

Let’s assume the two similar triangles as ∆ABC & ∆PQR.

So,

the perimeter of ∆ABC = 35  

And,

the perimeter of ∆PQR = 45  

We know, if two triangles are similar then the perimeters of the triangles are proportional to the measures of their corresponding sides.

∴ [Perimeter of (∆ABC)] / [Perimeter of (∆PQR)]

= [AB/PQ] = [AC/PS] = [BC/QR]

= 35/45

= 7/9

Also, if two triangles are similar then the ratio of the areas of the triangles is equal to the square of ratio of their corresponding sides.

∴ [Area of (∆ABC)] / [Area of (∆PQR)]

= [AB/PQ]² = [AC/PS]² = [BC/QR]²

= [7/9]²

= 49/81

Thus, the ratio of their area is 49/81.