a triangle abc have a line ad perpendicular on bc if ad is 6cm and bc is 2 cm then find area of abc
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ΔABC is right angled at A. AD is perpendicular to BC. If AB=5cm, BC=13cm and AC=12cm, find the area of ΔABC. Also, find the length of AD.
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In right angles triangle BAC, AB=5cm and AC=12cm
Area of triangle=
2
1
×base×height=
2
1
×AB×AC
=
2
1
×5×12=30cm
2
Now, in ΔABC,
Area of triangle ABC=
2
1
×BC×AD
⇒30=
2
1
×13×AD
⇒ AD=
13
30×2
=
13
60
cm.
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the area of ABC is 8cm I hope it will need you
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