Practice Triangle Questions and Answers

• The inner-radius of a triangle is 5 cm, and the sum of lengths of its sides is 60 cm. What is the area of the triangle (in sq. cm.)?
• In ∆ PQR, S is the midpoint of QR. T is the midpoint of line PS. Then, Area of ∆PTQ : Area of ∆ PQR is
• In the Figure given below, find the value of x?
• In △ ABC, D and E are the points on sides AB and AC. respectively and DE | BC. BC = 8 cm and DE = 5 cm. If the area of △ ADE = 45 cm², then what i...
• A △ ABC has sides 5 cm, 6 cm and 7 cm. AB extended touches a circle at P and AC extended touches the same circle at Q. Find the length (in cm) of AQ.
• In a ∆ABC, angle BAC = 90°. If BC = 25 cm, then what is the length of the median AD?
• If each side of an equilateral triangle is 12 cm, then its altitude is equal to:
• In a ∆ABC, points P, Q and R are taken on AB, BC and CA, respectively, such that BQ = PQ and QC = QR. If ∠ BAC = 75°, what is the measure of &ang...
• The smallest side of a right-angled triangle is 7 cm less than the side of a square of perimeter 76 cm. The second largest side of the right-angled triangl...
• The lengths of the three sides of a right-angled triangle are (x-1) cm, (x+1) cm and (x+3) cm, respectively. The hypotenuse of the right-angled triangle (i...
• If area of similar triangles ∆ ABC and ∆ DEF be 64 sq Cm and 121 sq cm and EF = 15.4 cm then BC equals
• Area of a triangles with vertices at (2, 3), (-1, 0) and (2, -4) is :
• If in triangle ABC, If side AB=6√ 3, AC=12 and BC=6, then angle B equals:
• ∠A, ∠B, and∠C are three angles of ∆ABC.if ∠A-∠B=15°, ∠B-∠C =30°,then ∠ A, ∠B and ∠C are?
• ABC is an equilateral triangle with sides of 24cm. Find the difference between its in-radius and circum-radius.
• The base of a pyramid is an equilateral triangle whose side is 8 cm. Is. Its (slant edge) is 24 cm. What is the total surface area (in cm²) of the pyramid...
• The area of two similar triangles is 361 cm² and 324 cm², respectively. What is the ratio of their corresponding altitudes?
• A triangle and a parallelogram have the same base 42 cm and the same area. If the height of the parallelogram is 14 cm, then find the length of the altitud...
• The corresponding medians of two similar triangles are 12 cm and 15 cm. If the area of the first triangle is 288 cm, then find the area of the second trian...
• The corresponding medians of two similar triangles are 16 cm and 20 cm. If the area of the first triangle is 288 cm, then find the area of the second trian...
• The perimeter of an equilateral triangle is 48√3 cm. Find its height.
• If the ratio of the area of two similar triangles is √3:√2 then what is the ratio of the corresponding sides of the two triangles? ...
• The area of a triangle is 216 cm² and the ratio of its sides is 9: 12: 15. What is the perimeter of the triangle?
• If the side of an equilateral triangle is 12cm, then find the area (in cm 2 ) of the triangle (correct to two decimal places).
• The area of a triangle is 480 cm² and the ratio of its sides is 10: 24: 26. What is the perimeter of the triangle?
• If the angles of a triangle are in the ratio of 2:5:8, then find the value of the biggest angle.
• In a triangle ABC, the incenter is at O. Find angle BAC if angle BOC=120°.
• If the inradius of a triangle with a perimeter of 60cm is 8 cm, then find the area of the triangle.(in cm2)
• Two triangles DEF and XYZ are similar to each other. If DE = 5 cm, DF = 7 cm, and XY = 15 cm, then find XZ.
• Two triangles DEF and XYZ are congruent to each other such that DE = 10 cm, YZ = 24 cm, and ∠DEF = ∠XYZ = 90⁰. Find the circumradius of ΔDEF....
• An equilateral triangle ABC is surmounted on a square BCDE whose area is 500 cm². Find the altitude of triangle ABC.
• In a triangle ABC, AD is the altitude from A to BC. If AD = 12 cm, AB = 13 cm, and AC = 14 cm, find the length of BC.
• The base of a triangular plot is 25 meters, and its height is 30 meters. If a path of 2 meters wide is to be built around the plot, what will be the area o...
• In a right triangle, if the altitude drawn to the hypotenuse divides the triangle into two triangles of equal area, what is the value of the smallest angle...
• 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 = ...
• In a right-angled triangle, the hypotenuse is 20 cm, and one of the legs is 12 cm. Find the area of the triangle.
• In a triangle, the lengths of two sides are 13 cm and 14 cm, and the included angle between them is 60°. Find the area of the triangle.
• In a right-angled triangle, the perimeter is 60 cm. If the base is 12 cm and the height is 16 cm, find the length of the hypotenuse.
• In a right-angled triangle, the length of the hypotenuse is 25 cm, and the perimeter is 60 cm. Find the area of the triangle.
• The base of an isosceles triangle is 20 cm, and the sum of the other two sides is 30 cm. Find the area of the triangle.