Question

in the triangle shown below what is the approximate value of x

Answer 1

x^2 = 28^2 - 14^2

x^2 = 784 - 196

x^2 = 588

x = 24.25

Answer is C. 24.25 units

Answer 2

The length of the perpendicular is 14.69 units.

We have a right - angled triangle with hypotenuse (h) = 28 units, base (b) = 14 units.

We have to find the length of the perpendicular (p) for this right-angled triangle.

What is Pythagoras theorem?

According to the Pythagoras theorem : for a right angled triangle -

$h^{2} =b^{2} +p^{2}$

In the question given to us that - h = 28 units and b = 14 units. Substituting the values in the above equation, we can the value of p.

$p = \sqrt{b^{2} -h^{2} }$

$p =\sqrt{28^{2} -4^{2} }$

$p =\sqrt{32\times 24 }\\p = \sqrt{768}$

p = 27.7 units

Hence, the length of the perpendicular is 27.7 units.

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