All Questions

Dec 17, 2025

+507

Geometry

The centroid of triangle ABC is G. Find x, in degrees.

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bIueb3rry Dec 17, 2025, 3:50:28 PM

+507

Geometry

Points $M$, $N$, and $O$ are the midpoints of sides $\overline{KL}$, $\overline{LJ}$, and $\overline{JK}$, respectively, of triangle $JKL$. Points $P$, $Q$, and $R$ are the midpoints of $\overline{NO}$, $\overline{OM}$, and $\overline{MN}$, respectively. read more ..

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bIueb3rry Dec 17, 2025, 3:50:09 PM

+1011

Geometry

In triangle ABC, M is the midpoint of \overline{BC}, E is the midpoint of \overline{AB}, and D is the midpoint of \overline{AM}. Point T is the intersection of \overline{BD} and \overline{ME}. Find the area of triangle XYZ if [ABC] = 14. read more ..

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gnistory Dec 17, 2025, 3:49:35 PM

+1011

Geometry

In triangle ABC, the orthocenter H lies on altitude \overline{AD}. Find \frac{AH}{HD}.

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gnistory Dec 17, 2025, 3:49:20 PM

+1011

Geometry

The centroid of triangle ABC is G. Find BG.

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gnistory Dec 17, 2025, 3:08:23 PM

+1011

Geometry

In triangle ABC, \angle A = 90^\circ. Altitude $\overline{AP},$ angle bisector $\overline{AQ},$ and median $\overline{AR}$ are drawn. If $PQ = 3$ and $QC = 4,$ find $AR.$

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gnistory Dec 17, 2025, 3:08:11 PM

+616

Geometry

The incircle of triangle ABC is shown. Find x, in degrees.

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onyuIee Dec 17, 2025, 2:59:15 PM

+616

Geometry

Find the area of triangle ABC if AH=6, AQ=4, and CQ=11 in the diagram below.

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onyuIee Dec 17, 2025, 2:59:03 PM

+322

Geometry

If ST = 2, QS = 4, and PT = 5, find PQ.

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CInsbstnkng Dec 17, 2025, 2:48:06 PM

+322

Geometry

In rectangle ABCD, corner A is folded over crease DE to point F on BC. Find BC.

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CInsbstnkng Dec 17, 2025, 2:47:45 PM

Please help me

On a number line, C is twice as far from A as it is from B if the lenth of AB = 7.5 inches, find the number of inches between the 2 possible locations for C?

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Omer8thgrade Dec 17, 2025, 2:17:35 PM

Dec 16, 2025

+314

Number Theory

For a positive integer n, let \tau(n) be the sum of the positive integer divisors of n. Find the number of values of n, where 1 \le n \le 25, such that \tau(n) = 1.

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AUnVerifedTaxPayer Dec 16, 2025

+314

Geometry

I is the incenter of triangle ABC. Find DE.

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AUnVerifedTaxPayer Dec 16, 2025

+314

Geometry

Find the ratio of the area of the red region to the area of the yellow region. Enter your answer as a fraction.

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AUnVerifedTaxPayer Dec 16, 2025

+314

Geometry

Triangle ABC has circumcenter O. What is \angle AOC, in degrees?

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AUnVerifedTaxPayer Dec 16, 2025

+12

The Perfect Square of Balanced Binary Matrices

Let S be the set of 2n \times 2n matrices whose entries are 0 or 1. A matrix M \in S is called good if in every row and every column, the sum of the entries is exactly n.
Prove that the number of good matrices is a perfect square.

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kotonarski Dec 16, 2025

+12

The Riemann Hypothesis Challenge

💥 The Ultimate Mathematical Challenge
The problem is to prove the Riemann Hypothesis (RH), a conjecture about the non-trivial zeros of the analytic continuation of the Riemann Zeta Function, \zeta(s).
The Equation and The Function read more ..

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kotonarski Dec 16, 2025

Dec 15, 2025

+1821

Geometry

Let XYZ be a triangle, and let XP, XQ, XR be the altitude, angle bisector, and median from X, respectively. If angle YQZ = 90^\circ and angle ZQX = 22^\circ, then what is the measure of angle RZP in degrees?

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blackpanther Dec 15, 2025

-1

+1821

Geometry

Find the side length of the equilateral triangle.
AB = 1, CP = 4, PQ = 5, DA = 3, EP = 2

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blackpanther Dec 15, 2025

-1

+1821

Geometry

In the diagram, ABCD is a square with side length 2, and BEF is an equilateral triangle with side length 3. Find DF.

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blackpanther Dec 15, 2025

-1

+1821

Geometry

In the diagram, ABCD and AEFG are squares with side length 1. Find the area of the green region.

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blackpanther Dec 15, 2025

Algabra

Graph the inequality on the axes below.
y, is greater than, minus, start fraction, 5, divided by, 6, end fraction, x, minus, 5
y>−65x−5

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Isukathw Dec 15, 2025

Dec 12, 2025

+869

Geometry

Shown below is rectangle $EFGH$. Its diagonals meet at $Y$. Let $X$ be the foot if an altitude is dropped from $E$ to $\overline{FH}$. If $FY = 24$ and $HX = 28$ and $EF = 10$, find the perimeter of rectangle $EFGH$.

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cooIcooIcooI17 Dec 12, 2025

+869

Geometry

In the diagram, \overline{BE} bisects \angle ABC, and \overline{CE} bisects \angle ACD. Compute \angle BAC, in degrees.

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cooIcooIcooI17 Dec 12, 2025

+869

Geometry

In pentagon ABCDE, \overline{AC} bisects \angle BCE and \overline{AD} bisects \angle CDA. If \angle CBD = 37^\circ and \angle CED = \angle ABC + 33^\circ, then find \angle BED, in degrees.

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cooIcooIcooI17 Dec 12, 2025

+1011

Geometry

ABCD is a square. Find AM.

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gnistory Dec 12, 2025

+1011

Geometry

Trapezoid ABCD has bases AB and CD. Line segment EF, which is parallel to the bases, divides trapezoid ABCD into two trapezoids of equal perimeter. If AM = 10, and BN = 5, find the length EF.

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gnistory Dec 12, 2025

+1011

Geometry

Find angle x, in degrees.
the angles of a triangle are x, 80, and 88.
Note: We say that a line bisects an angle if it splits it into two equal parts.

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gnistory Dec 12, 2025

+1011

Geometry

FInd the value of x
Triangle with angles 50, 75, x

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gnistory Dec 12, 2025

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Please help me

Number Theory

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Geometry

The Perfect Square of Balanced Binary Matrices

The Riemann Hypothesis Challenge

Geometry

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Algabra

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