We appreciate your visit to Which group of measurements could be the side lengths of a right triangle A 57 in 86 in 95 in B 47 in 76 in. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
In right angled triangles, according to Pythagoras' theorem, squared of the hypotenuse is equal to the sum of the squares of the other 2 sides of the triangle.
if the hypotenuse is H and other 2 sides are A and B, then equation is as follows;
H² = A² + B²
1. A - 57 in. B - 86 in.
H² = A² + B²
H² = 57² + 86²
H² = 3249 + 7396
H = √10645
= 103.17 in.
third side given is not 103 in therefore this is not a right angled triangle
2. A - 47 in. B - 76 in.
H² = A² + B²
H² = 47² + 76²
= 2209 + 5776
H = √7985
H = 89.3 in.
third side given is 95 in. therefore this is not a right angled triangle.
3. A- 57 in. + B - 76 in.
H² = A² + B²
H² = 57² + 76²
= 3249 + 5776
H = √9025
H = 95 in.
third side given is 95 in. therefore this is a right angled triangle.
4. A - 57 in. B - 76 in.
As calculated in the third equation with the same side lengths of A and B, hypotenuse should be 95 in. however the third side length given is 105 in. so this is not a right angle triangle
if the hypotenuse is H and other 2 sides are A and B, then equation is as follows;
H² = A² + B²
1. A - 57 in. B - 86 in.
H² = A² + B²
H² = 57² + 86²
H² = 3249 + 7396
H = √10645
= 103.17 in.
third side given is not 103 in therefore this is not a right angled triangle
2. A - 47 in. B - 76 in.
H² = A² + B²
H² = 47² + 76²
= 2209 + 5776
H = √7985
H = 89.3 in.
third side given is 95 in. therefore this is not a right angled triangle.
3. A- 57 in. + B - 76 in.
H² = A² + B²
H² = 57² + 76²
= 3249 + 5776
H = √9025
H = 95 in.
third side given is 95 in. therefore this is a right angled triangle.
4. A - 57 in. B - 76 in.
As calculated in the third equation with the same side lengths of A and B, hypotenuse should be 95 in. however the third side length given is 105 in. so this is not a right angle triangle
Thanks for taking the time to read Which group of measurements could be the side lengths of a right triangle A 57 in 86 in 95 in B 47 in 76 in. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
