Answer:
The base = 4 units and the height = 3 units
Step-by-step explanation:
* Lets remember the rule of the distance between 2 points
- The two points are (x1 , y1) and (x2 , y2)
∴ The distance = √[(x2 - x1)²+(y2 - y1)²]
* The vertices of the triangles are (-3 , 4) , (1 , 4) , (1 , 1)
- If two points have the same y-coordinate
∴ The line joining the to point is horizontal
∴ Its length = x2 - x1
- Because √[(x2 - x1)²+(y2 - y1)²] and y2 = y1
∴ d = √(x2 - x1)² ⇒ cancel power 2 with the radical sign
∴ d = x2 - x1
* Similar you can find the vertical distance
- If two points have the same x-coordinate
∴ The line joining the to point is vertical
- Its length = y2 - y1
∵ The points (-3 , 4) , (1 , 4) have same y-coordinate
∴ This side of the triangle is horizontal
∴ Its length = 1 - -3 = 4
∵ The points (1 , 4) , (1 , 1) have same x-coordinate
∴ This side of the triangle is vertical line
∴ Its length = 4 - 1 = 3
* The two sides of the triangle are ⊥
∴ One of them is the base of the triangle and the other is the height
* The base = 4 units and the height = 3 units
