Example 1
Figure 3.12
In figure 3.12 LMNO is an isosceles trapezoid. m Ð
MLO = 108 and seg. MO = 4.9.
Find (a) m Ð
LMN , (b) m Ð MNO and (c)
seg. LN .
Solution:
a) m Ð
LMN = 180^{0} as the base angles of an isosceles
trapezoid are equal.
b) m Ð
MNO = 72^{0} The consecutive interior angles formed by a
transversal seg. MN on two parallel lines seg. LM & seg. NO
are supplementary. Therefore ÐLMN
and ÐMNO are supplementary.
c) LN = 4.9 as the diagonals of an isosceles trapezoid are equal in length.
Example 2
Figure 3.13
In figure 3.13 PQRS is an isosceles trapezoid. seg. PQ = 30 and seg. SR = 50. Find the length of the median XY.
Solution:
seg. XY = half the sum of the lengths of the bases
= ( 30 + 50 )
= ( 80 )
= 40
