# 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

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.

#### 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

= 6.72 cm ≈ 6.7 cm

Concept: Perimeter of Triangles
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 20 Area of a Trapezium and a Polygon
Exercise 20 (A) | Q 14 | Page 224