If AC = 15 centimeters, and BC = 12 centimeters, which does AB equal?

What kind of figure is this?

a right triangle

yes

Use the Pythagorean Theorem.

a^2 + b^2 = c^2

15^2 + 12^2 = c^2
225 + 144 = c^2
369 = c^2
19.21 = c

ab = 19.21 cm

thank you

You're welcome.

Given Rhombus ABCD. The measure of angle BAE = 9x + 2 and the measure of angle BAD = 130. Find the measure of angle BAE.

To find the length of AB, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, we have a right triangle with sides AC, BC, and AB. The length of AC is given as 15 centimeters, and the length of BC is given as 12 centimeters. We need to find the length of AB, which is the hypotenuse.

Using the Pythagorean theorem, we can set up the equation:

AC^2 + BC^2 = AB^2

Substituting the given values:

15^2 + 12^2 = AB^2

225 + 144 = AB^2

369 = AB^2

To find the value of AB, we take the square root of both sides:

√369 = AB

Approximately,

AB ≈ 19.21 centimeters

Is this what it looks like?

A
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|___________B
C