Geometry Problems

Front

In a 45-45-90 triangle, if one leg is known, how do you find the other leg?

Back

Use the same length for the second leg.

Front

What is the straight line distance from the starting point after driving 14 miles east and 6 miles north?

Back

x = 15.2 miles.

Front

In a 30-60-90 triangle, if x = 6, what is y?

Back

y = 3√3.

Front

If a television is advertised as an 83-inch TV (the diagonal length) and the height is 45 inches, how wide is the TV?

Back

x = 69.2 inches.

Front

What is the length of the missing side if the options are 48 in., 52 in., 16 in., 24 in.?

Back

48 in.

Front

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

Back

Both legs are equal in length, and the hypotenuse is √2 times the length of a leg.

Front

What is the formula to find the hypotenuse in a right triangle?

Back

Hypotenuse = √(a² + b²), where a and b are the lengths of the other two sides.

Front

In a 30-60-90 triangle, what is the ratio of the lengths of the sides?

Back

1 : √3 : 2 (short leg : long leg : hypotenuse).

Front

How do you calculate the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is the Pythagorean theorem?

Back

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