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Question 1 of 4
Find the value of the missing length x
Round your answer to 2 decimal places
Incorrect
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Method One
Finding a Side
Use -
a2=c2-b2
Use the formula for Finding a Side to solve for x
a2 |
= |
c2−b2 |
Finding a Side |
x2 |
= |
752−622 |
Plug in the known lengths |
x2 |
= |
5625-3844 |
Evaluate |
x2 |
= |
1781 |
√x2 |
= |
√1781 |
Take the square root of both sides |
x |
= |
42.20 m |
Rounded to two decimal places |
Method Two
Labelling each length of the triangle
Use the Pythagorean Theorem Formula to solve for x
a2+b2 |
= |
c2 |
Pythagoras’ Theorem Formula |
x2+622 |
= |
752 |
Plug in the known lengths |
x2+3844 |
= |
5625 |
Evaluate |
x2+144 -3844 |
= |
5625 -3844 |
Subtract 3844 from both sides |
x2+3844 -3844 |
= |
1781 |
3844-3844 cancels out |
√x2 |
= |
√1781 |
Take the square root of both sides |
x |
= |
42.20 m |
Rounded to two decimal places |
-
Question 2 of 4
Find the value of the missing length c
The given measurements are in units
Round your answer to one decimal place
Incorrect
Labelling each length of the triangle
Use the Pythagorean Theorem Formula to solve for c
a2+b2 |
= |
c2 |
Pythagoras’ Theorem Formula |
82+52 |
= |
c2 |
Plug in the known lengths |
64+25 |
= |
c2 |
Evaluate |
√c2 |
= |
√89 |
Take the square root of both sides |
c |
= |
9.4 units |
Rounded to one decimal place |
-
Question 3 of 4
Find the value of the missing length.
The given measurements are in units
Round your answer to one decimal place
Incorrect
Method One
Finding a Side
Use -
b2=c2-a2
Labelling each length of the triangle
Use the formula for Finding a Side to solve for b
b2 |
= |
c2−a2 |
Finding a Side |
b2 |
= |
12.92−8.12 |
Plug in the known lengths |
b2 |
= |
166.41-65.61 |
Evaluate |
b2 |
= |
100.8 |
√b2 |
= |
√100.8 |
Take the square root of both sides |
b |
= |
10.0 units |
Rounded to one decimal place |
Method Two
Labelling each length of the triangle
Use the Pythagorean Theorem Formula to solve for b
a2+b2 |
= |
c2 |
Pythagoras’ Theorem Formula |
8.12+b2 |
= |
12.92 |
Plug in the known lengths |
65.61+b2 |
= |
166.41 |
Evaluate |
65.61+b2 -65.61 |
= |
166.41 -65.61 |
Subtract 65.61 from both sides |
65.61+b2 -65.61 |
= |
100.8 |
65.61-65.61 cancels out |
√b2 |
= |
√100.8 |
Take the square root of both sides |
b |
= |
10.0 units |
Rounded to one decimal place |
-
Question 4 of 4
Find the value of the missing length c
The given measurements are in units
Round your answer to one decimal place
Incorrect
Labelling each length of the triangle
Use the Pythagorean Theorem Formula to solve for c
a2+b2 |
= |
c2 |
Pythagoras’ Theorem Formula |
5.22+5.12 |
= |
c2 |
Plug in the known lengths |
27.04+26.01 |
= |
c2 |
Evaluate |
√c2 |
= |
√53.05 |
Take the square root of both sides |
c |
= |
7.3 units |
Rounded to one decimal place |