ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Fig. 7.31). Show that these altitudes are equal.

Question

cdquestions Admin · Accepted Answer

In ∆AEB and ∆AFC,  ∠AEB and ∠AFC (Each 90º) A  =∠A (Common angle) AB = AC (Given) ∠∆AEB  ∠∆AFC (By AAS congruence rule)  ∴ BE = CF (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

ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Fig. 7.31). Show that these altitudes are equal.

Solution and Explanation

Top CBSE Class IX Mathematics Questions

Top CBSE Class IX Questions