Answer:
Length of side of rhombus is 
Step-by-step explanation:
Given Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC. We have to find the length of side of rhombus.
It is also given that AB=a and AC=b
Let side of rhombus is x.
In ΔCEF and ΔCBA
∠CEF=∠CBA (∵Corresponding angles)
∠CFE=∠CAB (∵Corresponding angles)
By AA similarity rule, ΔCEF~ΔCBA
∴ their sides are in proportion
⇒ 
⇒ 
⇒ 
⇒
Hence, length of side of rhombus is
X= 1, x = 5
-3|x - 3| = -6
———— —– divide both sides by -3
-3 -3 and remove the bars
x - 3 = 2
+3 +3
—————
x = 5⭐️
-3|1-3|➡️-3|-2|= -6
9514 1404 393
Answer:
15 in, 36 in, 39 in
Step-by-step explanation:
The Pythagorean theorem tells us that for short side x, the relation is ...
(2x +9)² = (2x +6)² +x²
4x² +36x +81 = 4x² +24x +36 +x²
x² -12x -45 = 0 . . . . . subtract the left-side expression
(x -15)(x +3) = 0 . . . . factor
x = 15 . . . . . . . . . . . the positive value of x that makes a factor zero
The side lengths of the triangle are 15 inches, 36 inches, and 39 inches.
I’ll answer this in a second
The identification of parts A,B andC is illustrated below with their various reasons given.
<h3>What is an equilateral triangle?</h3>
An equilateral triangle is the triangle that has all its sides equal in length and each angle is made up of angle 60°.
Part A = The similar triangle are RGE and PBE
Part B = The triangles selected are similar because it was formed by an interception of the parallel lines of the rectangle GCPR.
Part C= All the sides of the equilateral triangle are the same therefore the distance from B to E and from P to E is the same with BP which is 225ft.
Learn more about triangles here:
brainly.com/question/2217700
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