Question

Need to find x using the Pythagorean Theorem

Answer 1

1. 15

2. 26

3. ≈ 7.62

4. 8

5. ≈ 23.24

6. √2

7. ≈ 19.42

8. 18

9. x≈10.29 y≈5.83

Explanation:

Use a²+b²=c² throughout the problems and plug in the given sides and hypothenuse.

1. 9²+12²=c²

81+144=225

√225 = 15

2. 10²+24²=c²

100+576=676

√676=26

3. 7²+3²=c²

49+9=58

√58 ≈ 7.62

4. a²+6²=10²

a²+36=100

a²=64

x=8

5. a²+6²=24²

a²+36=576

a²=540

x≈ 23.24

6. 1²+1²=c²

1+1=2

x=√2

7. a²+8²=21²

a²+64=441

a²=377

x≈ 19.42

8. a²+24²=30²

a²+576=900

a²=324

x=18

9. for x:

9²+5²=x²

81+25=106

√106 ≈10.29

x ≈10.29

for y:

5²+3²=y²

25+9=34

√34 ≈5.83

y ≈5.83

boom shakalaka