15.8k views
2 votes
A right triangle has side 9 and hypotenuse 15. Use the Pythagorean Theorem to find the length of the third side.

User Solonl
by
8.2k points

2 Answers

3 votes

For pythagorean theorem the triangle is a 3, 4 ,5 triangle 15 would be the length 5, and 9 would be the lenght 3. So we would multiply each side to getthe answer your lookin for. Which the third side would be, I think im right, i just did this in my head but im only 11 so dont bully me plsssss

ANSWER 12

User Tom Bowen
by
7.7k points
2 votes
According to the Pythagorean Theorem, the sum of the squares of the lengths of the two shorter sides of a right triangle is equal to the square of the length of the hypotenuse. So we have:

a^2 + b^2 = c^2

Where a and b are the two shorter sides of the triangle, and c is the hypotenuse.

In this case, we are given that a = 9 and c = 15. So we can plug in these values and solve for b:

9^2 + b^2 = 15^2
81 + b^2 = 225

Subtracting 81 from both sides, we get:

b^2 = 144

Taking the square root of both sides, we get:

b = 12

So the length of the third side of the triangle is 12.
User Ingram
by
8.5k points