Triangle ABC is a right triangle.
2 answers:
The equations that can be used to the value of x are 1) x+90+(x-10)=180 and 2) x+90+(2x+40)=180.
<u>Step-by-step explanation:</u>
Two properties can be used to find the value of the x.
1) Sum of Interior angles of a triangle is 180°.
⇒x+90°+(x-10)°=180.
2x+80°=180°.
2x=180°-80°.
2x=100°.
x=50°.
⇒(x-10)°=40°.
2) The Angle of the straight line is 180°.
From the given diagram, BC is a straight line ray with C as intersecting point. this will result in two angles. (refer the diagram).
The sum of those two angles will be 180°.
⇒ (x-10)°+ (2x+40)°=180°.
(3x+30)°=180°.
3x=150°.
x=50°.
∴(x-10)°=40° and (2x+40)° = 140°.
∴The equations that can be used to the value of x are x+90+(x-10)=180 and x+90+(2x+40)=180.
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Answer:
The distance formula is:
Step-by-step explanation:
Given:
Two points on a coordinate plane are given as:
Now, let the points be and let 'd' be the distance between the two points.
Now, join the points A and B to make a line segment AB.
Also, draw a right angled triangle ABC right angled at point C. Point C is is the intersection of horizontal and vertical lines drawn from points A and B respectively as shown in the figure below.
From the triangle ABC, we observe that:
AB =
AC =
BC =
Now, we use Pythagoras theorem to find 'd'. This gives,
Now, taking square root on both sides, we get:
Ignoring the negative result as distance can never be negative.
Therefore, the formula to find distance in coordinate geometry, given coordinates is:
