Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are given a right triangle $KLM$ with a right angle at $L$. We are given that side $LM$ has lengt...
TrigonometryRight TrianglesCosineTriangle GeometryAngle Measurement
2025/4/1
We are given a triangle $LMN$ with a right angle at $L$. $LP$ is perpendicular to $NM$. We are given...
Similar TrianglesRight TrianglesProportionsPythagorean Theorem (implicitly used)
2025/4/1
The problem asks to solve for $x$ in the right triangle $LMN$. We are given that angle $N$ is $64^\c...
TrigonometryRight TrianglesTangentAngle of ElevationTriangle Properties
2025/4/1
The problem provides a right triangle $\triangle LMN$ with $\angle L = 90^\circ$. A perpendicular l...
TrianglesRight TrianglesSimilar TrianglesPythagorean Theorem
2025/4/1
We have a right triangle LMN, where angle M is 90 degrees, side LN has length 45, angle N is 64 degr...
TrigonometryRight TrianglesSine FunctionTriangle Properties
2025/4/1
The problem asks us to find the value of $\cos R$ in the given right triangle $RST$, rounded to the ...
TrigonometryRight TrianglesCosineTriangle Properties
2025/4/1
The problem asks us to find the value of $\sin L$ rounded to the nearest hundredth. We are given a r...
TrigonometryRight TrianglesPythagorean TheoremSine FunctionTriangle PropertiesRounding
2025/4/1
We are given a triangle $LMN$ with a right angle at vertex $L$. $LP$ is perpendicular to $NM$ with $...
TrianglesSimilar TrianglesRight TrianglesGeometric MeanPythagorean Theorem (Implied)
2025/4/1
The image shows a triangle $LMN$ with a right angle at $L$. $LP$ is an altitude from $L$ to the side...
TrianglesSimilar TrianglesRight TrianglesAltitudeGeometric Mean
2025/4/1
We are given a triangle $LMN$ with $LP$ as an altitude to side $NM$. We know that $NP=9$ and $LM = 6...
Similar TrianglesRight TrianglesAltitudePythagorean Theorem (implied)
2025/4/1