Answer:
Step-by-step explanation:
The triangle shown is a right triangle.
Because this triangle is a right triangle, we can use they Pythagorean theorem to find the missing side length.
Pythagorean theorem :
where a and b = length of legs and c = hypotenuse ( longest side )
we have the hypotenuse ( 7 ) and a leg (5) and need to find the other leg.
So we know that a = 5 and c = 7 and we need to find b
Using the Pythagorean theorem:
a = 5 and c = 7
simplify exponents 5² = 25 and 7² = 49
subtract 25 from both sides
take the square root of both sides
simplify radical
And we are done!