Geometry and Trigonometry Concepts

The video tutorial explains how to solve a geometry problem involving a right triangle ABC with given side lengths. It covers finding the midpoint of a line segment, positioning a point equidistant from two others, and calculating the area of a triangle using trigonometric identities and the Pythagorean theorem. The tutorial concludes with finding the sum of specific values derived from the area expression.

What is the length of side AC in triangle ABC?

• 15

• 25

• 24

• 7

What is the coordinate of point C?

• (7/2, 12)

• (0, 24)

• (0, 0)

• (7, 0)

What is the length of the hypotenuse AB in triangle ABC?

• 25

• 15

• 7

• 24

Why is triangle CMA considered an isosceles triangle?

• Because it has two equal sides

• Because it has a right angle

• Because it is symmetric around the midpoint

• Because it has three equal sides

What is the length of DM in the triangle CDM?

• 5√11/2

• 25/2

• 7√11/2

• 15

What trigonometric identity is used to find the sine of an angle in this problem?

• tan(x) = sin(x)/cos(x)

• sin^2(x) + cos^2(x) = 1

• cos(x) = sin(90 - x)

• sin(x) = cos(90 - x)

What is the sine of angle CMD?

• 625/527

• 527/625

• 2/3

• 1/2

What is the height of triangle CDM?

• 527/250

• 625/527

• 625√11/250

• 527√11/250

What is the area of triangle CDM?

• 625/527

• 527/40

• 625√11/40

• 527√11/40

What is the sum of m, n, and p?

• 540

• 625

• 527

• 578