Question

In a fig AC=13 BC=12then find the value of secθ

Answer 1

What is the figure?
First find the hypotenuse by the pythagorous theorem,
HHYPOTENUSE^2=BASE^2+ALTITUDE^2
then find sectheta that means sectheta=hypotenuse side/adjacent side.
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Answer 2

Solution:

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Given:

In a fig AC = 13 cm,'

BC = 12cm

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To find :

Find the value of sec A

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A
l\             T
l  \            l
l    \       13cm
l      \        l
l        \      l
L____\  JL
B          C
l-12cm-l

We know that,

As it is a right angled triangle,

We can use pythagoras theorem,

It says that, AB² + BC² = AC²

=> AB² + 12² = 13²

=> AB² + 144 = 169

=> AB² = 169 - 144

=> AB² = 25

=> AB = 5cm.

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We know that,

=> sec A = $\frac{Hypotenuse(side)}{Adjacent(side)}$

=> $\frac{AC}{AB}$


=> $\frac{13}{5}$


                      ∴ Sec A = $\frac{13}{5}$

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