Question

Find the value of the unknown in each of the following figures

Answer 1

Answer:

x=12

Step-by-step explanation:

By using Pythagoras theorem , we can easily find out the answer

20^2 - 16^2. = (20-16)(20+16)

= 4×36

= 144

x=√144

x=12

Answer 2

Answer:

12 cm

Step-by-step explanation:

• Perpendicular (A) = 16 cm
• Hypotenuse (C)= 20 cm
• Base (B) = ?

Solution:-

${(c)}^{2} = {(a)}^{2} + ({b})^{2} \\ {(b)}^{2} = {(c)}^{2} - {(a)}^{2} \\ {(b)}^{2} = ({20})^{2} - {(16)}^{2} \\ {(b)}^{2} = 400 - 256 \\ {(b)}^{2} = 144 \\ b = \sqrt{144} \\ b = \sqrt{12 \times 12} \\ b = 12$