Use the triangle below to determine sinA if a=15 and b=8.
A. Sin A = 17/15
B. Sin A = 8/15
C. Sin A = 8/17
D. Sin A = 15/17
Transcribed Image Text:### Right Triangle ABC
In the provided diagram, we have a right-angled triangle labeled as \( \triangle ABC \). Here is a detailed description:
**Vertices:**
- **A** is the vertex opposite the base of the triangle.
- **B** is the vertex at the end of the base.
- **X** is the vertex with the right angle (90 degrees).
**Sides:**
- **a** is the length of the base of the triangle from vertex \(X\) to vertex \(B\).
- **b** is the length of the height of the triangle from vertex \(X\) to vertex \(A\).
- **x** is the hypotenuse of the triangle, which is the side opposite the right angle, extending from vertex \(A\) to vertex \(B\).
**Right Angle:**
- The right angle is located at vertex \(X\).
**Notations:**
- \(a\), \(b\), and \(x\) represent the lengths of the sides of the triangle, where \(x\) (hypotenuse) is typically the longest side.
This triangle can be analyzed using the Pythagorean theorem, which states for a right-angled triangle:
\[
a^2 + b^2 = x^2
\]
This equation can be used to find the length of any side of the triangle if the lengths of the other two sides are known.
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
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![### Right Triangle ABC
In the provided diagram, we have a right-angled triangle labeled as \( \triangle ABC \). Here is a detailed description:
**Vertices:**
- **A** is the vertex opposite the base of the triangle.
- **B** is the vertex at the end of the base.
- **X** is the vertex with the right angle (90 degrees).
**Sides:**
- **a** is the length of the base of the triangle from vertex \(X\) to vertex \(B\).
- **b** is the length of the height of the triangle from vertex \(X\) to vertex \(A\).
- **x** is the hypotenuse of the triangle, which is the side opposite the right angle, extending from vertex \(A\) to vertex \(B\).
**Right Angle:**
- The right angle is located at vertex \(X\).
**Notations:**
- \(a\), \(b\), and \(x\) represent the lengths of the sides of the triangle, where \(x\) (hypotenuse) is typically the longest side.
This triangle can be analyzed using the Pythagorean theorem, which states for a right-angled triangle:
\[
a^2 + b^2 = x^2
\]
This equation can be used to find the length of any side of the triangle if the lengths of the other two sides are known.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ba18adc-8ba6-4ade-8e3b-3e4e2c27116c%2F134f6fee-a72f-48d4-8244-39e39c5bbdfd%2Fwdtshbqf_processed.png&w=3840&q=75)
