Question
In a right angles trainagle, one acute angle is double
the other. If the length of its hypotenuse is 20 cm, the find its area?Solution
Let acute angle be x Other acute angle be 2x Sum of all the angles of triangle = 180° x + 2x + 90 = 180 3x = 90 x = 30 In ∆ABC sin60° = AC/BC 1/2 = BC/20 → BC = 10 cm cos60° = AB/AC →AB/20 √3/2 = AB/20 - AB = 10√3 Area of triangle = 1/2 × base × height = 1/2 × 10√3 × 10 = 50√3 cm²
Find the hypotenuse of an isosceles right-angled triangle where each of the equal sides is 7√5 cm.
- Find the radius of the incircle of an equilateral triangle whose height is given to be 3√3 cm.
An equilateral triangle has all sides of length 14√3 cm. What is the altitude of this triangle?
The area of two similar triangles is 361 cm² and 324 cm², respectively. What is the ratio of their corresponding altitudes?
- The sides of two similar triangles are in the ratio 5:7. The areas of these triangles are in the ratio:
- Find the approximate area of a triangle with a base of 17.9 cm and a corresponding height of 15.3 cm.
Determine the hypotenuse of an isosceles right-angled triangle where each of its equal sides measures 9√7 cm.
If the side of an equilateral triangle is 12cm, then find the area (in cm 2 ) of the triangle (correct to two decimal places).
- In triangle XYZ, lines XP and PF are medians of triangle XYZ and triangle XZF respectively. If the area of triangle XPF is 15 cm², calculate the area of t...
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 tr...
Relevant for Exams:
