Question

Triangle R has an area of 40 square units. Salome drew a scaled version of triangle R and labeled it triangle T what scale factor did salome use to go from triangle R to triangle T

Answer 1

Scale factor = 1/2

Ratio R:T = 2:1

Attached is the missing image;

Explanation:

From the image attached;

The height of the triangle T is = 5 units

Base of triangle T = 4 units

Since the two triangles are scaled versions;

Area of a triangle = 1/2 × h × b

For triangle R;

Area = 40 = 1/2 × h × b

hb = 80

And, h : b = 5:4

h= 5/4 b

5/4 ×b × b = 80

b^2 = 64

b = 8

h = 5/4 × 8 = 10

The height of the triangle R = 10 units

Base of triangle R = 8 units

Scale factor = h2/h1 = 5/10 = 1/2

Scale factor = 1/2