triangle ABC is right angled at a ad is drawn perpendicular to BC if ab = 5 cm and ac = 10 cm find the area of a triangle ABC also find the length of a AD
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area of triangle = 1/2*base *height
=1/2*AB*AC
= 1/2*5*10
= 50 /2
=25 sq cm
In triangle ABC,
By phy. theorem,
BC^2 = AB^2 + AC^2
BC^2= (5)^2 + (10)^2
BC^2 =25+100
BC^2 = 125
BC=√125
BC= 5√5 cm
1/2*AB*AC= 1/2*BC*AD
25= 1/2* 5√5* AD
AD=25*2/ 5√5
= 5*2/√5
=10 /√5
=(10/√5)*(√5/√5)
=10√5/5
AD=2√5 cm
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