English Deutsch Français Italiano Español Português 繁體中文 Bahasa Indonesia Tiếng Việt ภาษาไทย
All categories

1. Given the ratios of the lengths of the sides of triangle DEF and triangle XYZ. Is triangle DEF similar to triangle XYZ?
Triangle DEF 1:1:2
Triangle XYZ 3:3:6

A)Yes
B)No
C)Cannot be determined


2. Solve the following proportion
3/y + 2 = 2/y

A)4
B)1
C)3
D)2

2007-12-12 08:56:20 · 3 answers · asked by Anonymous in Science & Mathematics Mathematics

3 answers

PROBLEM 1:

Actually, neither one of them would be a triangle because sides of 1:1:2 (or 3:3:6) would make a straight line*.

(*The rule for triangles is that the two shorter sides must always add up to more than the longer side. 1 + 1 is *not* greater than 2 and 3 + 3 is *not* greater than 6.)

However, generally if all the sides have the same multiplier, they would be similar. For example triangles with ratios 3:4:5 and 9:12:15 would be similar because every side is 3 times as big as the first triangle.

The intended answer was A, but please tell your teacher that these aren't triangles.

PROBLEM 2:

I assume y + 2 is in the denominator:

.. 3 .... 2
------- = ---
y + 2 .. y

Cross multiply:
3y = 2(y + 2)

Distribute the 2 through the parentheses:
3y = 2y + 4

Subtract 2y from both sides:
y = 4

Answer:
A) 4

2007-12-12 09:00:49 · answer #1 · answered by Puzzling 7 · 1 1

1- neither 1:1:2 and 3:3:6 would make a straight line. Although since sides have the same multiplier, they would be similar. So it should be A, but it's not triangles
2-
3/(y + 2) = 2/y
3y = 2(y + 2)
3y = 2y + 4
y = 4

So it's A

2007-12-12 17:07:06 · answer #2 · answered by twilight_zone 2 · 1 1

1) yes because the ratio is similar
2) A 3/6 = 2/4

2007-12-12 17:01:48 · answer #3 · answered by Phill 4 · 0 1

fedest.com, questions and answers