You first need to find the length of the line bisecting the triangle. You can find this using the Pythagorean Theorem.
Pythagorean Theorem: a² + b² = c²
a and b are the legs; c is the hypotenuse
Let's focus on the left triangle. You know that its hypotenuse is 17 cm, and that its base is 4 cm (because the tic on the line is showing you that it is congruent to the other triangle's base).
Plug in 4 for a, 17 for c, and solve for b to find the side we need first (the triangle bisector).
4² + b² = 17²
Rewrite this with 4 and 17 squared.
16 + b² = 289
Subtract 16 from both sides.
b² = 273
Square root both sides to isolate b.
b = √273 = 16.5 cm (rounded to tenths)
The triangle bisector length is 16.5 cm.
Now to find the hypotenuse of the triangle on the right (the "missing length" that you're supposed to find), plug in 4 for a, 16.5 for b, and solve for c.
4² + 16.5² = c²
Square 4 and 16.5; rewrite.
16 + 272.25 = c²
Add 16 and 272.25.
288.25 = c²
Square root both sides to isolate c.
c = √288.25 =17 cm
The missing length is 17 cm.
A. AB = √13 units; BC = √13 units; AC = √26 units
B. Slope of AB = 3/2; Slope of BC = -3/2; Slope of AC = -5
C. The triangles have two equal sides, therefore, it is an isosceles triangle.
<h3>How to Find the Slope and Length Between Two Points?</h3>
Slope (m) = change in y / change in x.
To find the length of each side, use the distance formula,
.
Given the following vertices:
A(0, 2),
B(2, 5),
C (-1, 7)
Part A:
AB = √[(2−0)² + (5−2)²]
AB = √13 units
BC = √[(2−(−1))² + (5−7)²]
BC = √13 units
AC = √[(0−(−1))² + (2−7)²]
AC = √26 units
Part B:
Slope of AB = (5 - 2)/(2 - 0)
Slope of AB = 3/2
Slope of BC = (7 - 5)/(-1 - 2)
Slope of BC = -3/2
Slope of AC = (7 - 2)/(-1 - 0)
Slope of AC = -5
Part C:
The triangles have two equal sides, therefore, it is an isosceles triangle.
Learn more about slope on:
brainly.com/question/19376563
#SPJ1
-2976 use formula a_1 + (n-1)d n = term number ( in this case 1000)
Answer:
<h3>
x=21°</h3>
Step-by-step explanation:
From the figure
x+159=180°
(linear pair)
x=180-159
x=21°
hope it helps...
have a great day!!
Answer:
∠B = 156°
Step-by-step explanation:
A line intersects two parallel lines this means that their opposite angles are transversals specifically the angles, A and B. And transversal angles are congruent so I can make this claim below:

Solving for x:

Solving Angle B if x = 11.
