Question

In a ∆ABC , AC =17cm, BC = 28cm and AD is perpendicular to BC such that AD = 15cm. Then AB =_____ ​

Answer 1

Step-by-step explanation:

In ABC∆

Given= AC=17cm

BC=28cm

AD is perpendicular to BC and AD=15cm and BD=CD=14cm (AD perpendicular to BC)

To find = AB

Proof= We can say that ∆ABD is a right angled ∆

therefore, Using Pythagoras theorem,

H^2=P^2 +B^2

(AB)^2 = (15)^2 + (28)^2

(AB)^2 =225+784

AB = √1009

AB = 31.8(approx.)

Answer 2

Answer:

AB= 25 cm

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