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# ΔAbc is Right Angled at a (See the Given Figure). Ad is Perpendicular to Bc. If Ab = 5 Cm, Bc = 13 Cm and Ac = 12 Cm, Find the Area of δAbc. Also Find the Length of Ad. - CBSE Class 7 - Mathematics

ConceptArea of a Triangle

#### Question

ΔABC is right angled at A (see the given figure). AD is perpendicular to BC. If AB = 5 cm, BC = 13 cm and AC = 12 cm, Find the area of ΔABC. Also find the length of AD.

#### Solution

Area = 1/2 xx "Base" xx "Height" = 1/2 xx 5 xx 12  = 30 cm^2

Also area of triangle = 1/2 xx AD xx BC

30 = 1/2 xx AD xx 13

(30 xx 2)/13 =AD