Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

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

We are given a right triangle FGH with right angle at G. We are given the length of the hypotenuse F...

TrigonometryRight TrianglesSineAngle Calculation
2025/4/1

The problem presents a diagram of triangle $LMN$ with an altitude $LP$ drawn from vertex $L$ to side...

TrianglesSimilarityAltitudeRight TrianglesGeometric Proofs
2025/4/1

We are given a right triangle VUT, where angle U is the right angle. The length of side VU is 4 and ...

TrigonometryRight TrianglesCosineAngle Calculation
2025/4/1

We are given a triangle $LMN$ with a right angle at vertex $L$. $LP$ is an altitude to the hypotenus...

Similar TrianglesRight TrianglesAltitudePythagorean Theorem
2025/4/1