Question

Can anyone please answer this?

Answer 1

Step-by-step explanation:

a is the correct answer.

if you want steps ask question again cause comments don't work

Answer 2

$\sf \Large Solution!!$

$\sf \large Given:$

$\sf \to Area\:of\:larger\:triangle=100\:cm^{2}$

$\sf \to Area\:of\:smaller\:triangle=36\:cm^{2}$

$\sf \to Length\:of\:the\:side\:of\:the\:larger\:triangle=20\:cm$

We have to find the length of the corresponding side of the smaller triangle. So, we can use the property of area of similar triangle which states that ratio of their areas is equal to the square of the ratio of their corresponding sides.

$\sf \dfrac{Area\:of\:larger\:triangle}{Area\:of\:smaller\:triangle}=\dfrac{(Side\:of\:larger\:triangle)^{2}}{(Side\:of\:smaller\:triangle)^{2}}$

Let the side of the smaller triangle be x.

$\sf \to \dfrac{100\:cm^{2}}{36\:cm^{2}}=\dfrac{(20\:cm)^{2}}{x^{2}}$

$\sf \to x^{2}=\dfrac{4\cancel{00}\:\cancel{cm^{2}}\times 36\:cm^{2}}{1\cancel{00}\:\cancel{cm^{2}}}$

$\sf \to x^{2}=144\:cm^{2}$

$\sf \to x=\sqrt{144\:cm^{2}}$

$\sf \to x=12\:cm$

Length of corresponding side of the smaller triangle is 12 cm.

Option (a) ✅