Question

Type the correct answer in each box. Use numerals instead of words. Based on the Pythagorean theorem, find the missing length for each of the given right triangles. Triangle EFG with side a = 9, side c = 41 and side b = . Triangle PQR with side a = 20, side b = 21 and side c = . Triangle XYZ with side b = 24, side c = 25 and side a = .

Answer 1

Answer: See below

Explanation:

The Pythagorean Theorem is a²+b²=c². Since each problem gives us the length of a, b, or c, we can directly plug them into this equation and solve.

Triangle EFG

9²+b²=41²

81+b²=1681

b²=1600

b=√1600

b=40

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Triangle PQR

20²+21²=c²

400+441=c²

c²=841

c=√841

c=29

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Triangle XYZ

a²+24²=25²

a²+576=625

a²=49

a=√49

a=7