Question
What is the capital city of
Australia?Solution
Canberra is the capital of Australia. It is located in the Australian Capital Territory (ACT), approximately 240 km southwest of Sydney. Unlike Sydney or Melbourne, Canberra was purpose-built as the nation's capital and is Australia’s largest inland city.
- In triangle DEF, GH is drawn parallel to side EF. If DG = 9 cm, GE = 3 cm and DH = 6 cm, find DF.
What is the height of an equilateral triangle with a side length of 12√5 cm?
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 &...
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.
...The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is the area of the triangle?
- The base of a right pyramid is an equilateral triangle with side 10 cm. If the height of the pyramid is 55√3 cm, calculate the volume of the pyramid.
If two triangles EFG and UVW are congruent, then which of the following statement(s) is/are true?
I. EF = UV
II. ∠FEG = ∠UVW
Find the inradius of an equilateral triangle whose altitude is 9√3 cm.
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.
If the angles of a triangle are in the ratio of 2:5:8, then find the value of the biggest angle.
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