Mathematics: Find the ratio of the area of triangle xby to the area of triangle abc for the given measurements, if xy = 2, ac = 3 a. 1/3 b. 2/3 c. 4/9

6*(4/5)=(6*4)/5=24/5=4 4/5so 4 pounds and 4 fifths of chocolate candy...

Find the ratio of the area of triangle xby to the

novarosell

10.03.2022

(c)

Step-by-step explanation:

Consider ΔXBY and ΔABC

∠XYB = ∠ACB [ Corresponding angles of parallel line (AC and XY) are equal]

∠XBY = ∠ABC (Common angles)

By AA similarity, ΔXBY $\sim$ ΔABC,

We know that the ratio of area of two similar triangles is the square of ratios of their sides.

Ratio of sides = $\frac{XY}{AC}$

= $\frac{2}{3}$

$\frac{Area of \triangle XBY}{Area of \triangle ABC}$ = $[\frac{XY}{AC}]^{2}$

= $[\frac{3}{2}]^{2}$

= $\frac{4}{9}$

Option (c) is correct

0,0(0 оценок)