measurement of perpendicular sides of an isocesles triangle is 5 cm find other perpendicular side
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Let assume A, B, C be the vertices of the given triangle and right-angled at A i.e, ∠A=90
∘
, AD⊥BC.(D is the point of intersecton of perpendicular from A on BC)
By Pythagoras theorem,
BC
2
=AB
2
+AC
2
BC
2
=4
2
+4
2
BC=4
2
cm
Area of triangle =
2
1
base×height
Thus,
2
1
AB×AC=
2
1
AD×BC
4×4=4
2
×AD
AD=2
2
cm
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