Question

Part A find the missing value in the following triangles

Answer 1

The missing value in the right triangle are;

1. b = 9

2. a = 12

3. b = 13

4. b = 10

5. a = 4

6. b = 5

7. a = 9

8. b = 7

9. b = 20

10. a = 0

What is the missing value in the right triangle?

1.

`b = \sqrt{c^(2) - a^(2)} \\ b = \sqrt{10^(2) - 4^(2)} \\ b = √(100 - 16) \\ b = √(84) \\ b = 9.16515`

b = 9

2.

`a = \sqrt{c^(2) - b^(2)} \\ a = \sqrt{12^(2) - 3^(2)} \\ a = √(144 - 9) \\ a = √(135) \\ a = 11.619`

a = 12

3.

`b = \sqrt{c^(2) - a^(2)} \\ b = \sqrt{14^(2) - 6^(2)} \\ b = √(196 - 36) \\ b = √(160) \\ b = 12.6491`

b = 13

4.

`b = \sqrt{c^(2) - a^(2)} \\ b = \sqrt{12^(2) - 7^(2)} \\ b = √(144 - 49) \\ b = √(95) \\ b = 9.75`

b = 10

5.

`a = \sqrt{c^(2) - b^(2)} \\ a = \sqrt{10^(2) - 9^(2)} \\ a = √(100 - 81) \\ a = √(19) \\ a = 4.3588`

a = 4

6.

`b = \sqrt{c^(2) - a^(2)} \\ b = \sqrt{6^(2) - 3^(2)} \\ b = √(36 - 9) \\ b = √(27) \\ b = 5.19615`

b = 5

7.

`a = \sqrt{c^(2) - b^(2)} \\ a = \sqrt{14^(2) - 11^(2)} \\ a = √(196 - 121) \\ a = √(75) \\ a = 8.6602`

a = 9

8.

`b = \sqrt{c^(2) - a^(2)} \\ b = \sqrt{12^(2) - 10^(2)} \\ b = √(144 - 100) \\ b = √(44) \\ b = 6.6332`

b = 7

9.

`b = \sqrt{c^(2) - a^(2)} \\ b = \sqrt{25^(2) - 15^(2)} \\ b = √(625 - 225) \\ b = √(400) \\ b = 20`

10.

`a = \sqrt{c^(2) - b^(2)} \\ a = \sqrt{12^(2) - 12^(2)} \\ a = √(144 - 144) \\ a = √(0) \\ a = 0`