Advertisement Remove all ads

Use the Information Given in the Adjoining Figure to Find : (I) the Length of Ac. (Ii) the Area of an ∆Abc (Iii) the Length of Bd, Correct to One Decimal Place. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Sum

Use the information given in the adjoining figure to find :
(i) the length of AC.
(ii) the area of an ∆ABC
(iii) the length of BD, correct to one decimal place.

Advertisement Remove all ads

Solution

AB = 24 cm, BC = 7 cm

(i)

AC = `sqrt("AB"^2 + "BC"^2)`

= `sqrt(24^2 + 7^2)`

= `sqrt(576 + 49)`

= `sqrt(625) = 25` cm

(ii)

Area of ΔABC = `1/2 "AB" xx "BC"`

= `1/2 xx 24 xx 7 = 84` cm2

(iii)

BD ⊥ AC

Area ΔABC = `1/2  "AC" xx "BD"`

`84 = 1/2 xx 25 xx "BD"`

⇒ BD = `(84 xx 2)/25 = 168/25 = 6.72` cm

= 6.7 cm

Concept: Perimeter of Triangles
  Is there an error in this question or solution?

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 20 Area of a Trapezium and a Polygon
Exercise 20 (A) | Q 14 | Page 224
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×