Answer:
v = 5
Explanation:
Given figure is a right triangle with side having length v as hypotenuse
By the Pythagorean theorem
hypotenuse² = sum of squares of the other two sides
Given hypotenuse = v
one side = 3 and other side = v - 1
we get
v² = 3² + (v - 1)²
3² = 9
(v - 1)² = v² - 2v + 1² = v² - 2v + 1
Plugging these in we get
v² = 9 + v² - 2v + 1
v² = v² -2v + 10
We can eliminate v² by subtracting v² from both sides:
0 = -2v + 10
Add 2v to both sides:
0 + 2v = -2v + 2v + 10
2v = 10
v = 10/2 = 5
Answer:
v = 5