Ratio of triangles

[TrueEars]

If the ratio of the sides of a triangle are 1.4 : 1 what is the ratio of areas?

cheers,
TrueEars

[appianway]

The formula for the area of a triangle is 0.5 * xy, right? (If x and y are the sides)

Your new triangle will have side lengths of 1.4x and 1.4y

The new area of your triangle is therefore 0.5 *1.4x * 1.4 y, which equals 0.98xy.

The area of your old triangle is 0.5xy (from the formula)

The ratio is thus 0.98xy: 0.5xy

By doubling both sides we get 1.96xy: 1xy

If we then divide by xy we have a ratio of 1.96: 1

[chuckjefster90]

Got question from essential further maths 3/4

Chapter 15 q 32 multiple choice

In the given triangles the lengths XZ is 40% greater than AC. The ratios of areas is?

triangles are similar