Determine if the triangles are similar \triangle LNM\sim \triangle

Daniaal Sanchez 2021-08-09 Answered
Determine if the triangles are similar.
If they are, complete the similarity statement and indicate the theorem that proves similarity.
If they are not similar, select "not similar" for both entries.

LNM? by ?
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Expert Answer

wornoutwomanC
Answered 2021-08-10 Author has 81 answers
Step 1 Given
The triangle LNM & LQP and the sides are given to us is
MN=8
PQ=12
LN=10
NQ=5
Step 2
First, we will take two triangles LNM & LQP and seeing
MNPQ=812=23
LNLQ=LNLN+NQ=1010+15=1015=23
We can see that the ratio are equal so,
MNPQ=LNLQ=23
And we can see that L is common in both triangles
Step 3
Therefore, we can see that 2 sides and 1 angle is used in the similarity of the triangles.
Hence, we can say that by SAS similarity is used to show 2 triangles similar.
so,
LNMLQP
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