Bc² = ab² + ac² bc² = 10² + 10² bc² = 100 + 100 bc² = 200 bc = √200 bc = 10√2 L ABC = AB × AC / 2 L ABC = BC × AD /2 AB × AC / 2 = BC × AD / 2 AB × AC = BC × AD 10 × 10 = 10√2 × AD 100 = 10√2 × AD 100/10√2 = AD AD = 10/√2 AD = 10√2 × √2/√2 AD = 10√2 / 2 AD = 5√2
Verified answer
Bc² = ab² + ac²bc² = 10² + 10²
bc² = 100 + 100
bc² = 200
bc = √200
bc = 10√2
L ABC = AB × AC / 2
L ABC = BC × AD /2
AB × AC / 2 = BC × AD / 2
AB × AC = BC × AD
10 × 10 = 10√2 × AD
100 = 10√2 × AD
100/10√2 = AD
AD = 10/√2
AD = 10√2 × √2/√2
AD = 10√2 / 2
AD = 5√2