Altitude on Hypotenuse

Front

What is the altitude on the hypotenuse in a right triangle?

Back

The altitude on the hypotenuse is a line segment drawn from the right angle to the hypotenuse, forming two smaller right triangles that are similar to the original triangle.

Tags

CCSS.HSG.CO.C.10

Front

What is the geometric mean of two numbers a and b?

Back

The geometric mean is the square root of the product of the two numbers, calculated as √(a*b).

Front

If the altitude to the hypotenuse is h, and the segments of the hypotenuse are p and q, what is the relationship?

Back

The relationship is h² = p * q, where h is the altitude, and p and q are the lengths of the segments of the hypotenuse.

Tags

CCSS.HSG.CO.C.9

Front

What is the formula for finding the area of a triangle using the altitude?

Back

Area = 1/2 * base * height, where the base is the hypotenuse and the height is the altitude.

Tags

CCSS.6.G.A.1

Front

How do you find the length of the altitude from the right angle to the hypotenuse?

Back

Use the formula h = (a*b)/c, where a and b are the legs of the triangle and c is the hypotenuse.

Front

What is the significance of the altitude in a right triangle?

Back

The altitude helps in determining the area of the triangle and establishes relationships between the sides of the triangle.

Tags

CCSS.HSG.CO.C.10

Front

If the legs of a right triangle are 3 and 4, what is the hypotenuse?

Back

The hypotenuse is 5, calculated using the Pythagorean theorem: c = √(3² + 4²).

Tags

CCSS.8.G.B.7

Front

What is the geometric mean of 4 and 9?

Back

The geometric mean is 6, calculated as √(4*9).

Front

If the segments of the hypotenuse are 2 and 8, what is the altitude?

Back

The altitude is 4, calculated using h² = p * q, where p = 2 and q = 8.

Tags

CCSS.HSG.SRT.B.4

Front

What is the value of x if the altitude to the hypotenuse is 6?

Back

x = 6, as given in the problem.