Answer:
1) 24
2) 20.8
3) 14.7
Step-by-step explanation:
1) use pythagorean theorem
a^2 + b^2 = c^2 (a and b are the bases, c is the hypotenuse)
a = ?, b = 10, c = 26
a^2 + 10^2 = 26^2 ... (substitute the given values)
a^2 + 100 = 676 ... (find the square of 10 and 26)
a^2 = 576 ... (subtract 100 from both sides)
a = 24 ... (square root both sides)
2) use pythagorean theorem
a^2 + b^2 = c^2 (a and b are the bases, c is the hypotenuse)
a = 12, b = b, c = 24
12^2 + b^2 = 24^2 ... (substitute the given values)
144 + b^2 = 576 ... (find the square of 12 and 24)
a^2 = 432 ... (subtract 144 from both sides)
a ≈ 20.8 ... (square root both sides)
3) use pythagorean theorem
a^2 + b^2 = c^2 (a and b are the bases, c is the hypotenuse)
a = x, b = 15, c = 21
x^2 + 15^2 = 21^2 ... (substitute the given values)
x^2 + 225 = 441 ... (find the square of 15 and 21)
x^2 = 216 ... (subtract 225 from both sides)
x ≈ 14.7 ... (square root both sides)
