Geo Triangles

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

How do you calculate the area of a right triangle?

Back

Area = 1/2 * leg1 * leg2, where leg1 and leg2 are the two shorter sides.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

The sides are in the ratio 1 : √3 : 2.

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

The sides are in the ratio 1 : 1 : √2.

Front

How do you find the length of a leg in a right triangle if you know the hypotenuse and one leg?

Back

Use the Pythagorean theorem: leg² = hypotenuse² - known leg².

Front

What is the area of a triangle with a base of 10 m and a height of 5 m?

Back

Area = 1/2 * 10 * 5 = 25 m².

Front

What is the distance between two points in a coordinate plane?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the perimeter of a triangle?

Back

Perimeter = side1 + side2 + side3.