Answer:
Step-by-step explanation:
When working with 45-45-90 triangles the hypotenuse is the same as the other legs multiplied by root 2. Therefore if you need to find the legs and already have the hypotenuse, divide the hypotenuse by root 2.
10/ sqrt(2) = 7.1 is the rounded answer.
to double check your work just multiply 7.1 by the square root of 2 and you'll get <em>close</em> to 10. (because the answer is rounded and not exact.)
Y = mx + b
M= your slope or rise over run
B = your y-intercept
For example if the rise was 5 and the run is 6, the equation would say
y = 5/6 + b
The / being your fraction bar
The y-intercept is where your line crosses the y-axis
So say that the line crosses the y-axis at 10
y = 5/6 + 10
That about sums it all up!
Here's the solution,
The given triangle is an <u>equilateral triangle</u>, because it's all angles measure 60° each
now,
Area of an equilateral triangle :
=》

where,
=》

=》

=》

or
=》

(z+2)= (z-3)(5/-3)
z+2 = 5z/-3 +5
-3= 2z/-3
9= 2z
9/2 = z