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21 votes
21 votes
Calculate the value of a in the triangle below.
15 cm
12 cm
a cm

Calculate the value of a in the triangle below. 15 cm 12 cm a cm-example-1
User Wes Gamble
by
3.1k points

1 Answer

23 votes
23 votes

Answer:

a = 11cm

Explanation:

We can use the Pythagorean theorem to find the value of a.

Let us solve it now.


\sf {a}^(2) + {12}^(2) = {15}^(2)

Now solve for a and and find the length of the side.


\sf {a}^(2) + 144 = 225 \\ \sf {a}^(2) = 225 - 144 \\ \sf{a}^(2) = 121 \\ \sf \: a = √(121) \\ \sf \: a = 11

User Vivek Hande
by
2.8k points