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ANSWER

The length of the hypotenuse is 15 cm


EXPLANATION

Use Pythagoras Theorem.


The theorem says that, the square of the length of the  of the hypotenuse of a right angle triangle is equal to the sum of the squares of the two shorter legs.


See diagram

[tex]h^2=9^2+12^2[/tex]


[tex]h^2=81+144[/tex]


[tex]h^2=225[/tex]

Taking square root of both sides gives;

[tex]h=\sqrt{225}[/tex]


[tex]h=15cm[/tex]


Therefore the length of the hypotenuse is 15 cm

Ver imagen kudzordzifrancis
alinakincsem

Answer:

15 cm

Step-by-step explanation:

We are given the lengths of legs (perpendicular and the base) of a right angles triangle to be 9 cm and 12 cm.

So with help of the given lengths, we can find the length of the hypotenuse using the Pythagoras Theorem.

[tex]a^2=b^2+c^2[/tex] where [tex]a[/tex] is the hypotenuse.

Substituting the given values in this formula to get:

[tex]a^2 = 9^2+12^2[/tex]

[tex]a^2 = 81+144[/tex]

[tex]a^2 =225[/tex]

[tex]\sqrt{ a^{2} }= \sqrt{225}[/tex]

[tex]a=15[/tex]

Therefore, the length of the hypotenuse is 15 cm.

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