Triangle in a SquarePro Problems > Math > Geometry > Triangles
Triangle in a Square
Triangle ABC is inside square ABDE, and C lies along side DE. If the area of the triangle is 24 square units, what is the length of AB?
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If the perimeter of the triangle (in linear units) is equal to the area of the triangle (in square units), what is the length of the side of the square?
In a triangle, the measure of the largest angle is 12 less than the sum of the measures of the other two angles. The largest angle is also 52 more than the twice the middle angle decreased by three times the smallest angle. What is the largest angle measure?
Line segment AB is intersected by segment DC, with D on AB, between A and B.
In triangle ADC, m∠ADC = 30º + x and m∠DAC = 50º
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In triangle CDB, m∠CDB = 140º + x
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The angles of a triangle meet the following criteria:
- All the angle measures are prime numbers.
- All the angle measures are distinct.
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- One of the digits of x is twice the other digit.
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The angles in a triangle have measures x, x + 10, and y.
The angles in a second triangle have measures x + y, 40, and 50.
The angles in a third triangle have measures x – y, 40, and z.
What is the value of z?
In the diagram displayed, the triangle splits the rectangle into three similar triangles. Find the value of AD2 divided by the product of DE and EC.
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