The side lengths of a square are 7 in. What is the length of the diagonal?
1 answer:
See diagram
look a right triangle
for a right triangle
with legs legnth a and b and hypotonuse c
a²+b²=c²
so
the legs are 7 and the diagonal is c
a=b since all 4 sides of a square are equal legnth
7²+7²=c²
49+49=c²
98=c²
sqrt both sides
√98=c
(√49)(√2)=c
(7)(√2)=c
7√2=c
the legnth of the diagonal is 7√2 inches or aprox 9.899 inches
look a right triangle
for a right triangle
with legs legnth a and b and hypotonuse c
a²+b²=c²
so
the legs are 7 and the diagonal is c
a=b since all 4 sides of a square are equal legnth
7²+7²=c²
49+49=c²
98=c²
sqrt both sides
√98=c
(√49)(√2)=c
(7)(√2)=c
7√2=c
the legnth of the diagonal is 7√2 inches or aprox 9.899 inches
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