Answer: AAS
Step-by-step explanation:
Step-by-step explanation:
A baseball field is in the shape of a square (or diamond). Home plate and second base are opposite corners of each other. So the distance is equal to the diagonal of the square.
Use Pythagorean theorem to find the diagonal, or use properties of a 45-45-90 triangle.
Using Pythagorean theorem:
c² = a² + b²
c² = (90 ft)² + (90 ft)²
c = 90√2 ft
c ≈ 127 ft
Answer:
<h3>Two of the sides of triangle KNM are the equal</h3>
Step-by-step explanation:
From the triangle KNM, we can see that two of the angles M K N and Angle N M K are the same. If two of the angles are equal this means that two of the sides of the triangles are also equal. This type of triangle is known as an ISOSCELES TRIANGLE.
An isosceles triangle is a triangle that has two of its angles and sides to be equal.
The length of the hypotenuse = √(-3^2 +1^2) = √10
The point -3,1 tell us the length of y is 1 and the length of x is 3.
This would make opposite = 1 and adjacent = -3
Sinθ = opposite/hypotenuse = 1/√10 = √10/10
Cosθ = adjacent/hypotenuse = -3/√10 = - 3√10/10
Tanθ = opposite/adjacent = 1/-3 = -1/3
Step-by-step explanation:
a) gradient= y2-y1/x2-x1
gradient of AB:
gradient=-4-1/2-3
=-5/-1
=5
gradient of BC:
=-5+4/7-2
=-1/5
b) as the priduct of both gradient is -1 ,both lines are perpendicular.
c) as we have seen lines are perpendicular so it is a right angled triangle.
