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Practice Triangle Questions and Answers

In an equilateral triangle, the length of the side is 18 cm. A circle is inscribed in the triangle. Find the radius of the circle.
In a right-angled triangle, the legs are in the ratio 3:4, and the hypotenuse is 25 cm. Find the perimeter of the triangle.
In a triangle ABC, the lengths of sides AB, BC, and AC are 13 cm, 14 cm, and 15 cm, respectively. Find the area of the triangle.
A right-angled triangle has an area of 120 m², and the ratio of its base to height is 5:3. The side length of an equilateral triangle is 125% of the avera...
In triangle ABC, the difference between angle A and angle B is 16°, and the difference between angle A and angle C is 8°. Determine the measure of angle ...
The area of an isosceles triangle ABC is 8√5 cm². In this triangle, sides AB and BC are equal in length, and the base AC has a length of 8 cm. Determine...
Determine the area of the triangle whose vertices lie on the co-ordinates (2, 4), (4, 2), (-2, -5)
The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is the area of the triangle?
The side of an equilateral triangle is 15 cm long. What is the radius of the circle circumscribing this equilateral triangle?
Find the area of the triangle formed by the line 5x + 3y = 15 and the x-axis and the y-axis.
A right-angled triangle has one leg of 12 cm and the hypotenuse of 13 cm. Find the length of the other leg.
The vertices of a triangle are given as (5, 4), (9, 6), and (1, 5). Determine the area enclosed by this triangle.
In triangle ABC, the lengths of its sides are given as AB = 8 cm, AC = 10 cm, and BC = 12 cm. Determine the length of the median drawn from vertex 'A' to t...
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 ∠ ...
A triangle has sides 13 cm, 14 cm, and 15 cm. Find the area of the triangle.
The sides of a triangle are 15 cm, 20 cm, and 25 cm. A smaller triangle is drawn inside it such that its sides are proportional to the original triangle an...
The area of an equilateral triangle increases by 16√3 square units when the length of each side is increased by 4 units. What is the original perimeter o...
In a ΔDEF, ∠D = 45°, ∠E = 2∠F. What is the value of ∠F?
Determine the inradius of an equilateral triangle whose altitude measures 9√3 cm.
The area of an equilateral triangle is 64√3 cm2. Find the radius of the circle that circumscribes the triangle.
Given a right-angled triangle with the perpendicular measuring 36 cm and the base measuring 48 cm, determine the length of the shortest median of the trian...
The angles of a triangle are in the ratio 4:5:3. Determine the sum of the smallest and largest angles of the triangle.
What is the length of the hypotenuse in an isosceles right-angled triangle if one of its equal sides measures 5√3 cm?
In the given figure, AB ∥ QP, AB = x, PQ = x + 10, RB = x/2, BP = x + 1. Find PQ. ...
Find the area of a triangle whose sides are 12 m, 14 m, and 16 m.
The area (in square units) of the triangle formed by the vertices (0,2), (2,3), and (3,1) is:
The parallel sides of a trapezium and its height are in an arithmetic progression with a common difference of 4. If the height is the highest term and the ...
What is the height of an equilateral triangle with a side length of 8√3 cm?
What is the height of an equilateral triangle with a side length of 14√7 cm?
Find the area of a triangle whose base is 15.4 cm and corresponding altitude is 20.8 cm.
Find the altitude of an equilateral triangle whose side is 8√3 cm.
Find the inradius of an equilateral triangle whose altitude is 9√3 cm.
The altitude of an equilateral triangle is 6√3 cm. Find the area of the equilateral triangle.
The area of an isosceles triangle ABC is 8√5 cm 2 . If AB = BC and AC = 8 cm, then find the perimeter of triangle ABC.
What is the height of an equilateral triangle if each of its sides is 4√3 cm?
Determine the perpendicular drawn from a vertex to the opposite side in an equilateral triangle with side length 8√3 cm.
Find the vertical height from a vertex to the base of an equilateral triangle with a side measuring 12√3 cm.
An equilateral triangle has all sides of length 14√3 cm. What is the altitude of this triangle?
A triangle has a base of 22 cm and the corresponding height is 9.5 cm. Calculate its area.
In triangle ABC, DE is drawn parallel to side BC. If AD = 6 cm, DB = 4 cm and AE = 9 cm, then find AC.

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