<h2>
The area of a triangle is =54 square units</h2><h2>
The perpendicular distance from B to AC is = 
</h2>
Step-by-step explanation:
Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)
The area of a triangle is= ![\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Bx_1%28y_2-y_3%29%20%2Bx_2%20%28y_3-%20y_1%29%2Bx_3%28y_1-y_2%29%5D)
=![|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|](https://tex.z-dn.net/?f=%7C%5Cfrac%7B1%7D%7B2%7D%20%5B2%282-8%2B12%288-1%29%2B12%281-2%29%5D%7C)
=
= 54 square units
The length of AC = 
= 
=
units
Let the perpendicular distance from B to AC be = x
According To Problem
⇔
units
Therefore the perpendicular distance from B to AC is =
This is simply solving an equation...
You do this...
3x-7=14
+7 +7
---------------
3z=21
--- ----
3 3
z=7
hope this helped! Give me a 5-rate and a thanks if so!
Answer:
+ 8b + 11 + 6x + 5c
Step-by-step explanation:
1.1 Split 8b + 11 + 6x + 5c
into two 2-term polynomials
+ 11 + 8b and + 6x + 5c
This partition did not result in a factorization. We'll try another one:
8b + 11 and + 6x + 5c
This partition did not result in a factorization. We'll try another one:
8b + 6x and + 11 + 5c
This partition did not result in a factorization. We'll try another one:
8b + 5c and + 6x + 11
This partition did not result in a factorization. We'll try another one:
+ 5c + 8b and + 6x + 11
This partition did not result in a factorization. We'll try another one:
+ 6x + 8b and + 11 + 5c
All three partitions failed. Tiger finds no factorization
Answer:
Option D
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.
A right angled triangle is a triangle in which one of the angles is 90°. The side opposite the 90° is known as the hypotenuse while the remaining sides is known as the leg. Let us assume a right triangle with legs of a, b and a hypotenuse of c. Then using Pythagoras theorem:
c² = a² + b²
From the options, option d is the correct option.
For option D, the hypotenuse is c and one leg is a. Let x represent the second leg. Hence:
c² = a² + x²
x² = c² - a²
x = √(c² - a²)
Therefore the other leg would be √(c² - a²)
Answer:
10/21
Step-by-step explanation:
5/7 x 2/3= 10/21
