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What is the value of x and y?

What is the value of x and y?-example-1
User Ternary
by
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1 Answer

3 votes
Answer
x = √45 (irrational so left as a surd)
y = 10

Explanation

Since these are both right angled triangles, you can use the pythagorean theorem: a^2 + b^2 = c^2

6^2 + 3^2 = x^2
36 + 9 = x^2
45 = x^2
x = √45

(3 + 5)^2 + 6^2 = y^2
8^2 + 6^2 = y^2
64 + 36 = y^2
100 = y^2
10 = y
User Chris Baxter
by
5.2k points