Question

PLZ HELP SCALE FACTOR TRIANGLE

A. 10.5 cm
B. 31.5 cm
C. 63 cm
D. 189 cm

Answer 1

If two similar triangles have sides in the ratio a : b, then their areas are in the ratio a² : b².

We have the ratio:

`54:18=(54)/(18)=3:1`

Area of the smaler triangle = x

Area of the larger triangle = 567 cm²

Therefore we have the equation:

`567:x=3^2:1^2\\\\(567)/(x)=(9)/(1)\qquad|\text{cross multiply}\\\\9x=567\qquad|\text{divide both sides by 9}\\\\x=63`

Answer: C. 63 cm²