Maths Pre Board Question!!!!
solve it fast
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Answer:
(b) 60/13
Explanation:
Given:
∠A = 90° ———————————— 1
AB = 5cm ———————————— 2
AC = 12cm ———————————— 3
AD ⊥ BC ———————————— 4
Area of ️ BAC = ½ × AC × AB
= ½ × 12 × 5
= 6 × 5
= 30cm² ———————————— 5
By Pythagoras Theorem and from equation 1,
BC² = AB² + AC²
BC² = (5)² + (12)²
BC² = 25 + 144 = 169
BC = √(169) = 13cm ———————————— 6
Using equations 5 and 6,
Area of ️ BAC = ½ × BC × AD
= ½ × 13 × AD = 30
13/2 × AD = 30
(b) AD = 30 × 2/13 = 60/13
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