In ∆ ABC, AD is the perpendicular bisector of BC (see Fig. 7.30). Show that ∆ ABC is an isosceles triangle in which AB = AC.

Question

cdquestions Admin · Accepted Answer

In ∆ADC and ∆ADB,  AD = AD (Common)  ∠ADC = ∠ADB (Each 90º) CD = BD (AD is the perpendicular bisector of BC) ∠∆ADC ∠∆ADB (By SAS congruence rule) ∴ AB = AC (By CPCT)

Length (in hours)	Number of lamps
300 − 400	14
400 − 500	56
500 − 600	60
600 − 700	86
700 − 800	74
800 − 900	62
900 − 1000	48

Length (in hours)	Number of lamps
300 − 400	14
400 − 500	56
500 − 600	60
600 − 700	86
700 − 800	74
800 − 900	62
900 − 1000	48

In ∆ ABC, AD is the perpendicular bisector of BC (see Fig. 7.30). Show that ∆ ABC is an isosceles triangle in which AB = AC.

Solution and Explanation

Top CBSE Class IX Mathematics Questions

Top CBSE Class IX Questions