Question
A triangle XYZ is drawn inside a circle with a radius of 8 cm, such that its vertices lie on the circumference of the circle. Given that ∠XYZ = ∠YZX = ∠ZXY, find the perimeter of triangle XYZ.
More Triangle Questions
- In triangle △ ABC, the internal angle bisectors of ∠ B and ∠ C intersect at point OO. If the measure of ∠ BAC = 50o , determine the measure of ∠ BOC.
- If perpendicular and base of a right-angle triangle is, 18 cm and 24 cm, respectively, then find the length of the shortest median of triangle.
- The base of a triangle is 14.8 cm, and the corresponding altitude is 20.2 cm. What is its area?
- The area of two similar triangles is 361 cm² and 324 cm², respectively. What is the ratio of their corresponding altitudes?
- If the perpendicular from a vertex of an equilateral triangle to the opposite side is 15√3 cm, find its inradius.
- In triangle ABC, DE is drawn parallel to BC, meeting AB at D and AC at E. If AD : DB = 3 : 2 and the area of triangle ADE is 45 cm², find: (a) the area of...
- A right-angled triangle has one leg of 12 cm and the hypotenuse of 13 cm. Find the length of the other leg.
- What is the average of the first eight triangular numbers?
- The angles of a triangle are in the ratio 4:5:3. Determine the sum of the smallest and largest angles of the triangle.
- If two triangles PQR and STU are congruent, then which of the following statement(s) is/are true? I. PQ = ST II. ∠PQR = ∠STU
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