Question

Find the value of x in these right-angled triangle, correct two decimal places A=20 B=7

Answer 1

Answer:

There are two possibilities: 1) A is the hypotenuse: $C \approx 18.74$, 2) A is not the hypotenuse: $C \approx 21.19$

Step-by-step explanation:

Let be C the remaining side of the triangle. Given that triangle is right-angled and the remaining side can be found by Pythagorean Theorem, there are two options by using the two known sides:

1) A is the hypotenuse

$20^{2} = 7^{2} + C^{2}$

$C^{2} = 20^{2}-7^{2}$

$C = \sqrt{20^{2}-7^{2}}$

$C \approx 18.74$

2) A is not the hypotenuse

$C^{2} = 20^{2} + 7^{2}$

$C = \sqrt{20^{2}+7^{2}}$

$C \approx 21.19$