Triangle J K L is shown. Angle K J L is 58 degrees and angle J L K is 38 degrees. The length of J K is 2.3 and the length of J L
2 answers:
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Answer:
10-5
Step-by-step explanation:
As per the attached figure, right angled has an inscribed circle whose center is
.
We have joined the incenter to the vertices of the
.
Sides MD and DL are equal because we are given that
Formula for <em>area</em> of a
As per the figure attached, we are given that side <em>a = 10.</em>
Using pythagoras theorem, we can easily calculate that side ML = 10
Points P,Q and R are at on the sides ML, MD and DL respectively so IQ, IR and IP are heights of
MIL,
MID and
DIL.
Also,
So, radius of circle =
From the given figure ,
RECA is a quadrilateral
RC divides it into two parts
From the triangles , ∆REC and ∆RAC
RE = RA (Given)
angle CRE = angle CRA (Given)
RC = RC (Common side)
Therefore, ∆REC is Congruent to ∆RAC
∆REC =~ ∆RAC by SAS Property
⇛CE = CA (Congruent parts in a congruent triangles)
Hence , Proved
<em>Additional comment:-</em>
SAS property:-
"The two sides and included angle of one triangle are equal to the two sides and included angle then the two triangles are Congruent and this property is called SAS Property (Side -Angle-Side)
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