Question
What is the ratio whose terms differ by 30 and the
measure of which is 4/9?Solution
Let the ratio be x : (x + 30). Then, => x/(x + 30) = 4/9 => 9x = 4x + 120 => x = 24 ∴  Required ratio = 24:54 = 4:9
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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 alti...
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 tr...
- Determine the perpendicular drawn from a vertex to the opposite side in an equilateral triangle with side length 8√3 cm.
- Determine the inradius of an equilateral triangle if its height is 6√3 cm.
Find the altitude of an equilateral triangle whose side is 8√3 cm.
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.
If two triangles EFG and UVW are congruent, then which of the following statement(s) is/are true?
I. EF = UV
II. ∠FEG = ∠UVW
- In triangle DEF, GH is drawn parallel to side EF. If DG = 9 cm, GE = 3 cm and DH = 6 cm, find DF.
