The length of AB is [tex]\boxed{5.3{\text{ cm}}}.[/tex]
Further explanation:
An altitude is a line that is perpendicular to a side and passes through opposite vertex.
The point at which all the three perpendicular bisectors of a triangle intersect each is known as circumcenter.
The cicumcenter can lie inside or outside the triangle.
Given:
X is the circumcenter of the triangle ABC.
The length of side AX is 5.3 cm, length of CX is 5.3 cm, length of XN is 3.2 cm, length of BN is 4.2 cm and length of side BM is 2.3 cm.
Explanation:
X is the center of the circle that circumscribed to a triangle ABC because X is the circumcenter of triangle ABC.
Therefore, the side AX, BX and CX are the radii of the circle with center X.
The radii of the circle are equal. Therefore, the value of BX is 5.3 cm.
Hence, the length of AB is [tex]\boxed{5.3{\text{ cm}}}.[/tex]
Kindly refer to the image attached.
Learn more:
1. Learn more about inverse of the function https://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Triangles
Keywords: circumcenter, triangle circle, length, perpendicular, altitudes, vertex, radii, circumscribed, triangle ABC.
