Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are given a triangle $ABC$ with side $a = 7.82$ cm, side $b = 14.35$ cm, and angle $B = 115^\circ...
TriangleLaw of SinesTrigonometryAngle CalculationSide Calculation
2025/3/12
Given a triangle with side $a = 7.82$ cm, side $b = 14.35$ cm, and angle $B = 115^{\circ} 120''$, fi...
TrigonometryLaw of SinesTriangleAngle Calculation
2025/3/12
Given a triangle with side $a = 7.82$ cm, side $b = 14.35$ cm, and angle $B = 115^\circ + 120''$. We...
TriangleLaw of SinesTrigonometryAngle Calculation
2025/3/12
We are given a triangle $ABC$ with side $b = 14.35$ cm, side $a = 7.82$ cm, and angle $B = 115^{\cir...
TrigonometryLaw of SinesTrianglesAngle CalculationSide Calculation
2025/3/12
Given a triangle with side $a = 7.82$ cm, side $b = 14.35$ cm, and angle $B = 115^\circ 20'$, find a...
Law of SinesTrianglesTrigonometryAngle Calculation
2025/3/12
In triangle $ABC$, we are given side $b = 14.35$ cm, side $a = 7.82$ cm, and angle $B = 115^{\circ}$...
TriangleLaw of SinesTrigonometryTriangle Solution
2025/3/12
In the given circle with points A, B, C, and D on the circumference, we are given that $m(\angle BCD...
CircleAnglesInscribed AngleTriangleAngle Sum PropertyExterior Angle Theorem
2025/3/12
The problem asks us to identify which sets of side lengths can form a triangle. We need to apply the...
Triangle InequalityTriangle PropertiesGeometric Inequalities
2025/3/12
We are given a cyclic quadrilateral ABCD in a circle. We are given that $m\angle BCD = 90^\circ$, $m...
Cyclic QuadrilateralAnglesCirclesTrianglesGeometric Proofs
2025/3/12
In Figure 6.35, we are given $m\angle BCD = 90^\circ$, $m\angle BAC = 49^\circ$, and $m\angle ADB = ...
AnglesTrianglesQuadrilateralsCircle TheoremsExterior Angles
2025/3/12