Q1 of 45 Page 43

In figure 3.48, point A is on the bisector of ∠XYZ. If AX = 2cm then find AZ.

Given, Point A is on the bisector of ∠XYZ


AX = 2cm


Every point on the bisector of an angle is equidistant from the sides of the


angle.


Therefore, from figure


AX = AZ


∴ AZ = 2 cm


More from this chapter

All 45 →
3

In ΔPQR, ∠Q =900, PQ = 12, QR = 5 and QS is a median. Find t(QS).

 4

In figure 3.38, point G is the point of concurrence of the medians of ΔPQR. If GT = 2.5, find the lengths of PG and PT.

 2

In figure 3.49, ∠RST = 56°, seg PT ⊥ ray ST, seg PT ⊥ ray ST, seg PR ⊥ ray SR and PR ≅ seg PT Find the measure of ∠RSP. State the reason for your answer.

 3

In ΔPQR, PQ = 10 cm, QR = 12 cm, PR = 8 cm. Find out the greatest and the smallest angle of the triangle.