Question

If the area of two similar triangles are in the ratio 25 to 64 write the ratio of their corresponding sides

Answer 1

ratio of area of similar triangles = ratio of squares of sides of the triangles
let the sides be X&y
${x}^{2} \div {y}^{2} = 25 \div 64$
thus
$x \div y = \sqrt{25} \div \sqrt{64}$
$= x \div y = 5 \div 8$
hope this might help you

Answer 2

Let the 2 triangles be ABC and PQR,
we know that if 2 triangles are similar then the ratio of areas is equal to the ratio of squares of their corresponding sides i.e.,

area of ABC / area of PQR= (AB/PQ)^2
=> ( 5/8 ) ^2
=> Ratio of their corresponding sides = 5:8