Math, asked by brainlyperfecthai, 2 months ago

in the given figure find the value of secant a​

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Answered by amansharma264
14

EXPLANATION.

In the given figure.

Value of secα.

As we know that,

⇒ In ΔABC.

⇒ AB = 4cm.

⇒ BC = 3cm.

By using Pythagoras theorem, we get.

⇒ H² = P² + B².

Hypotenuse > Perpendicular > Base.

⇒ (AC)² = (AB)² + (BC)².

⇒ (AC)² = (4)² + (3)².

⇒ (AC)² = 16 + 9.

⇒ (AC)² = 25.

⇒ AC = √25.

⇒ AC = 5 cm.

Now, again we can see that,

⇒ In ΔACD.

⇒ AC = 5cm.

⇒ CD = 12cm.

Again using Pythagoras theorem, we get.

⇒ H² = P² + B².

Hypotenuse > Perpendicular > Base.

⇒ (AD)² = (AC)² + (CD)².

⇒ (AD)² = (5)² + (12)².

⇒ (AD)² = 25 + 144.

⇒ (AD)² = 169.

⇒ AD = √169.

⇒ AD = 13 cm.

As we know that,

⇒ secθ = Hypotenuse/Base.

secα = 13/12.

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