The brand new intersection of those medians ‘s the centroid

The brand new intersection of those medians ‘s the centroid

Answer: cuatro + 8 > x 12 > x 4 + x > 8 x > 4 8 + x > cuatro x > -cuatro Very, a dozen > x > cuatro Hence, YZ > cuatro

six.6 Inequalities in two Triangles

Explanation: Just like the, RQ = RS and you will yards?QRT > m?SRT RT = RT because of the reflexive possessions off congruence theorem TQ > ST because of the converse of your own hinge theorem.

Answer: Because the, RQ = RS and you will QT > ST RT = RT because of the reflexive possessions regarding congruence theorem Therefore, m?QRT > m?SRT from the converse of your depend theorem.

Dating Within Triangles Section Test

Explanation: RS = ST from the perpendicular bisector theorem 3x + 8 = 7x – cuatro 7x – 3x = twelve 4x = several x = step three ST = 7(3) – cuatro = 21 – 4 = 17

Explanation: 6x + dos = 9x – thirteen by angle bisector theorem 3x = fifteen x = 5 WY = 6(5) + 2 = 32

Concern nine. Get the coordinates of one’s circumcenter, orthocenter, and centroid of your own triangle having vertices An effective(0, – 2), B(cuatro, – 2), and C(0, 6). (more…)