Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

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

We need to solve problems 15, 16, 17 and 18 from the image. Problem 15: Find the value of $\sin L$ r...

TrigonometryRight TrianglesSineCosineTriangle PropertiesRounding
2025/4/1

The problem asks to identify the hypotenuse of the right triangle shown in the image.

Right TriangleHypotenuseTriangle Properties
2025/4/1