Respuesta :

a=1, c=25/7(3.571429) b=?
c=hypotenuse
a=side

In this case, we are finding for a SIDE and not the HYPOTENUSE.

Using Pythagoras' theorem
side²= hyp²–side²
b²= 3.57²–1²
b²= 12.7–1
b²= 11.7
b²= √11.7
b²= 3.4(correct to 1 dp)

Therefore, b= 3.4

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Answer:

[tex]\frac{24}{7}=b[/tex]

Step-by-step explanation:

We are given a right angled triangle.

Hypotenuse = c = [tex]\frac{25}{7}[/tex]

Base = a = 1

Now we are supposed to find the perpendicular i.e. b

So, we will use Pythagoras Theorem  :

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

[tex]c^2=b^2+a^2[/tex]

[tex](\frac{25}{7})^2=b^2+1^2[/tex]

[tex]\frac{625}{49}=b^2+1[/tex]

[tex]\sqrt{\frac{625}{49}-1}=b[/tex]

[tex]\frac{24}{7}=b[/tex]

Hence the missing length is [tex]\frac{24}{7}[/tex].

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