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Answers
Step-by-step explanation:
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Step-by-step explanation:
(i)
We know Area of triangle = 1/2 * B * H
= 1/2 * AB * AC
= 1/2 * 4 * 3
= 6 cm²
(ii)
We apply Pythagoras theorem in Δ ABC and get
BC² = AB² + AC²
⇒ BC² = 3² + 4²
⇒ BC² = 25
⇒ BC = 5 cm
(iii)
We apply Pythagoras theorem in Δ ABD and get
AB² = AD² + BD² ,
AD² = 3² - BD²
AD² = 9 - BD² --- ( 1 )
And apply Pythagoras theorem in ΔACD and get
AC² = AD² + CD² ,
AD² = AC² - CD²
AD² = AC² - ( BC - BD )²
AD2² = 9 - ( 25 + BD² - 10 BD )
AD² = 9 - 25 - BD² + 10 BD
10 BD = 25
BD = 2.5
Substitute that value in equation 1 we get
AD² = 9 - ( 2.5 )²
= 9 - 6.25
= 2.75
AD = 1.65 cm
Therefore,
The length of altitude from A to BC = Ad = 1.65 cm
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