Friday, March 18, 2011

345 triangle angles

Make a 90-degree angle using the rule of 3, 4, 5. This says a triangle with

Make a 90-degree angle using the rule of 3, 4, 5. This says a triangle with

Make a 90-degree angle using the rule of 3, 4, 5. This says a triangle with

Make a 90-degree angle using the rule of 3, 4, 5. This says a triangle with

But the 3:4:5 triangle has angle measurements of

But the 3:4:5 triangle has angle measurements of

A triangle with sides of 3 4 5 will have a right angle on the intersection

A triangle with sides of 3 4 5 will have a right angle on the intersection

20 The 3-4-5 method

20 The 3-4-5 method

At school, when we were taught about right-angled triangles, we were shown a

At school, when we were taught about right-angled triangles, we were shown a

A right triangle has 3 sides and 3 angles.

A right triangle has 3 sides and 3 angles.

Figure 2 illustrates how to use the "3-4-5" triangle to lay out

Figure 2 illustrates how to use the "3-4-5" triangle to lay out

40-10 is 30 -- the 3 side of a 3/4/5 triangle.

40-10 is 30 -- the 3 side of a 3/4/5 triangle.

The 3-4-5 triangle is a ratio derived from the Pythagorean theorem

The 3-4-5 triangle is a ratio derived from the Pythagorean theorem

Many construction workers are familiar with the 3-4-5 triangle because it is

Many construction workers are familiar with the 3-4-5 triangle because it is

In a right triangle (one where one interior angle is 90°), the longest side

In a right triangle (one where one interior angle is 90°), the longest side

The famous 3:4:5 triangle also referred to as the Rope-stretchers triangle

The famous 3:4:5 triangle also referred to as the Rope-stretchers triangle

This will form the base, or bottom line, of your isosceles triangle.

This will form the base, or bottom line, of your isosceles triangle.

Figure 5: The circumcenter of a triangle is given by the intersection of the

Figure 5: The circumcenter of a triangle is given by the intersection of the

We see that triangles FCJ, HGJ, FGK, AKE, AEI, DFI, and ABH are all 3:4:5

We see that triangles FCJ, HGJ, FGK, AKE, AEI, DFI, and ABH are all 3:4:5

are the interior angles of the triangle, which are related to the $\varphi

are the interior angles of the triangle, which are related to the $\varphi

 of three lines bisecting each of the angles of Triangle “ABC”.

of three lines bisecting each of the angles of Triangle “ABC”.

 a horizontal line 40 pixels long, the 4 side of the 3/4/5 triangle.

a horizontal line 40 pixels long, the 4 side of the 3/4/5 triangle.

Like the well-known 3-4-5 triangle,

Like the well-known 3-4-5 triangle,

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