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Question 1 of 4
Find the value of the missing length c
The given measurements are in units
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Labelling each length of the triangle
Use the Pythagorean Theorem Formula to solve for c
a2+b2 |
= |
c2 |
Pythagoras’ Theorem Formula |
32+42 |
= |
c2 |
Plug in the known lengths |
9+16 |
= |
c2 |
Evaluate |
√c2 |
= |
√25 |
Take the square root of both sides |
c |
= |
5 units |
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Question 2 of 4
Find the value of the missing length k
The given measurements are in units
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Method One
Finding a Side
Use -
a2=c2-b2
Use the formula for Finding a Side to solve for k
a2 |
= |
c2−b2 |
Finding a Side |
k2 |
= |
152−122 |
Plug in the known lengths |
k2 |
= |
225-144 |
Evaluate |
k2 |
= |
81 |
√k2 |
= |
√81 |
Take the square root of both sides |
k |
= |
9 units |
Method Two
Labelling each length of the triangle
Use the Pythagorean Theorem Formula to solve for k
a2+b2 |
= |
c2 |
Pythagoras’ Theorem Formula |
k2+122 |
= |
152 |
Plug in the known lengths |
k2+144 |
= |
225 |
Evaluate |
k2+144 -144 |
= |
225 -144 |
Subtract 144 from both sides |
k2+144 -144 |
= |
81 |
144-144 cancels out |
√k2 |
= |
√81 |
Take the square root of both sides |
k |
= |
9 units |
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Question 3 of 4
Find the value of the missing length x
Round your answer to 2 decimal places
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Labelling each length of the triangle
Use the Pythagorean Theorem Formula to solve for c
a2+b2 |
= |
c2 |
Pythagoras’ Theorem Formula |
62+102 |
= |
x2 |
Plug in the known lengths |
36+100 |
= |
x2 |
Evaluate |
√x2 |
= |
√136 |
Take the square root of both sides |
x |
= |
11.66 cm |
Rounded to two decimal places |
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Question 4 of 4
Find the value of the missing length y
Round your answer to 2 decimal places
Incorrect
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Labelling each length of the triangle
Use the Pythagorean Theorem Formula to solve for c
a2+b2 |
= |
c2 |
Pythagoras’ Theorem Formula |
82+122 |
= |
y2 |
Plug in the known lengths |
64+144 |
= |
y2 |
Evaluate |
√y2 |
= |
√208 |
Take the square root of both sides |
y |
= |
14.42 cm |
Rounded to two decimal places |