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  1. Proving that the ratio of the hypotenuse of an isosceles right …

    Jul 16, 2023 · In an isosceles right angled triangle, vertex opposite to the hypotenuse which has $90^\\circ$ is always on the perpendicular bisector of the hypotenuse. So my question is, if we …

  2. Radius of the circumscribed circle of an isosceles triangle

    Sep 5, 2020 · An isosceles triangle $ABC$ is given $ (AC=BC).$ The perimeter of $\triangle ABC$ is $2p$, and the base angle is $\alpha.$ Find the radius of the circumscribed circle $R$.

  3. How to find the length of the sides of an isosceles right triangle ...

    Oct 18, 2019 · There's an isosceles triangle with its base length which equals 13, and the other sides' length n. The question is, "if this triangle was a right triangle, what's the value of n ?".

  4. geometry - Square inscribed in an isosceles right triangle ...

    Feb 2, 2023 · 3 different shapes are inscribed in an isosceles right triangle. Given that the side shorter side of the isosceles right triangle to be 2. Find their areas. I have found the area of the …

  5. Prove $BE^2 = AE \cdot AB$ in an isosceles right triangle with a ...

    Dec 16, 2025 · I encountered this geometry problem involving an isosceles right-angled triangle and I am looking for a synthetic geometric proof (Euclidean geometry), as my attempt using …

  6. geometry - Finding the area of an isosceles right triangle given its ...

    Jan 2, 2019 · An isosceles right triangle is a 45-45-90 triangle so the sides are in the ratio x, x, x 2–√ x, x, x 2. We can use this relationship to see that the lengths of the legs are both 8 and …

  7. geometry - Can the center of circumscribed circle in a triangle be …

    May 30, 2024 · Besides the obvious answer of an isosceles right triangle, can there be other triangles where the center of its circumscribed circle is located on the perimeter of its incircle? …

  8. How must I find the third vertex of an equilateral / right isosceles ...

    Apr 2, 2024 · How must I find the third vertex of an equilateral / right isosceles triangle given the coordinates of 2 vertices? Ask Question Asked 1 year, 9 months ago Modified 1 year, 8 …

  9. C is the centre of the circle with radius BC = 35 cm. ABC is an ...

    Dec 19, 2024 · Given: Radius of the circle: . Triangle is an isosceles right triangle: Legs . Use . We aim to calculate the area of the triangle outside the circular region.

  10. The base of an isosceles right triangle is 30 cm. find its area

    Jan 25, 2024 · The given triangle is an isosceles right triangle with a base of 30 cm . Since it is an isosceles right triangle , its base is equal to its height . Thus , the height of the triangle is also …