Question

*Explain your answer
*Don't type rubbish answer
*Who so evers answer is correct will mark as brainliast​

Answer 1

Answer:

(D)- 16:81

Step-by-step explanation:

Given, ratio of sides of similar triangles = 4/9

• We know that if two triangles are similar,

ratio of areas is equal to the ratio of squares of corresponding sides.

»» SO, Area of triangle 1 / Area of triangle 2

=. (Side of triangle 1)^2 / ( Side of triangle 2)^2

= (4/9)^2

=. (16/81)

HENCE, THE RATIO IS 16:81

Therefore option D is correct

HOPE IT'S HELPFUL ⭐

Answer 2

Answer:

$\Large{\boxed{\underline{\overline{\mathfrak{\star \: QuEsTiOn:- \: \star}}}}}$

The ratio of the sides of two similar triangles are 4:9.the ratio of the areas of the two triangles is?

$\huge\underline{\overline{\mid{\bold{\pink{ANSWER-}}\mid}}}$

I'm here giving the simplest way to answer this particular question:

$\Large{\underline{\underline{\bf{SoLuTion:-}}}}$

$area \: = \: \frac{1}{2} \: \times b \: \times \: h \\ ratio \: = \: \frac{1}{2} \: \times \: b1 \: \times \: h1 \: \div \: \frac{1}{2} \: \times \: b2 \: \times \: h2 \\ ❥ \: given \: ratios \: of \: sides \: = \: 4 \: ratio \: 9\\ \:ratio \: of \: area \: = \: \frac{4}{9 } \: \times \: \frac{4}{9} \: \\ ratio \: of \: area \: = \: \frac{16}{81}$

$\mathfrak{\huge{\purple{\underline{\underline{Hence}}}}}$

Option C is correct