Question

7. Given a right triangle as shown below, use a calculator to estimate the length of the

Answer 1

Answer:

D. 11.6 cm

Step-by-step explanation:

The missing length of the right angled triangle can be calculated using Pythagorean Theorem as shown below:

$c^2 - b^2 = a^2$

Where,

a = x cm

b = 11 cm

c = 16 cm

Thus:

$16^2 - 11^2 = x^2$

$256 - 121 = x^2$

$135 = x^2$

$\sqrt{135} = \sqrt{x^2}$

$\sqrt{135} = x$

$11.61895 = x$

$x = 11.6 cm$ (nearest tenth)