In a triangle ABC AB=3cm, BC=4cm.Find AC?
Answers
Answered by
14
Step-by-step explanation:
Answer
Given that
AB=3cm
BC=4cm
And,AC=5cm
step of construction
(i) Draw a line segment BC=4cm
(ii) With C as centre and radius 5cm draw an arc.
(iii) With B as centre and radius AB=4cm draw an arc cutting the previous arc at A
(iv) join AC and AB then ΔABC is the required right angle triangle
Answered by
1
Answer:
If the angle B = 90°, AC is the hypotenuse and is equal to 5 cm by Pythagoras theorem.
Area of ∆ ABC = (1/2)(AB)(BC)
= (1/2)(3)(4) = 6 cm^2 …….(1)
If the hypotenuse is taken as the base and BD as the height then the area of the ∆ABC
= (1/2)(AC)(BD)
=> (1/2)(5)(BD) = 6 from (1)
=> BD = 12/5 = 2.4 cm.
Step-by-step explanation:
Kashuuu~
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