Finding the ratios and the extended ratios of 30:60:90 and 45:45:90 right triangles and identifying if the triangle is 30:60:90 or 45:45:90

Right triangle identification

100

The triangle that has a 30:60:90 ratio 

What is a 30:60:90 right triangle

200

The triangle that has a 45:45:90 ratio 

What is a 45:45:90 right triangle 

300

The triangle that has the square root of 2

What is a 45:45:90 right triangle

400

The triangle that has the square root of 3 

What is a 30:60:90 right triangle

Ratios of right triangles

100

The 45:45:90 right triangle that has sides of 1,1,and the square root of two

What is 1:1:2

200

The 45:45:90 right triangle that has the sides of 3, 4, and 5.

What is 3:4:5

300

The 30:60:90 right triangle that has the sides of x, 2x, and the square root of three

What is 1:2:square root of three

400

The 30:60:90 right triangle that has the sides of a, 2a, and the square root of 3a.

What is a:2:square root of three

500

The 45:45:90 right triangle whose sides are 9, and 12, and 15

What is 9:12:15

Extended ratios of right triangles

100

The extended ratio of a 45:45:90 right triangle whose sides are 1, 1, and 2 

What is x square root of two equals h.

200

The extended ratio of a 45:45:90 right triangle whose sides are 3, 4, and 5.

3²⁺4²⁼5² 

9+16=25

What is 25=25

300

The extended ratio of a 45:45:90 right triangle whose sides are 9, 12, and 15.

9²⁺12²=15²

81+144=225

What is 225=225

400

The extended ratio of a 30:60:90 right triangle whose sides are x, 2x, and x square root of three

What is x:2x:square root of three

500

The extended ratio of a 30:60:90 right triangle whose sides are a, 2a, and the square root of 3a

What is a:2a:square root of three