What are two different ways you could find the value of a? Explain these methods. A right triangle is shown. An altitude is drawn from the right angle to the opposite side to form 2 line segments with lengths 9 and 16. The length of the other 2 sides are 15 and a.

You could use the Pythagorean theorem, since you know the length of the hypotenuse is 9 + 16 = 25 units and the length of one leg is 15 units. To find the value of a, use the relationship that the the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

Step-by-step explanation:

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batolisis batolisis · Answer 2 · 2021-08-24T14:15:45+02:00

The two methods to find the Length of a side in a right angled triangle apply

Pythagoras's theorem
cosine or sine rule

we can apply the cosine or sine rule when any of the angles of the right angled triangle is given.

Pythagoras's theorem states the length of the longest side ( hypotenuse )of a right angled triangle = square root of the sum of squares of the opposite and adjacent sides of the triangle. ( i.e. hypotenuse = [tex]\sqrt{b^2 + c^2}[/tex] )

Hence To find a ( hypotenuse ) = [tex]\sqrt{16^2 + 15^2}[/tex] = 21.9

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