PE 4 - Triangles | Geometry - Triangles
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A rectangle inscribed in a triangle has its base coinciding with the base b of the triangle. If the altitude of the triangle is h, and the altitude x of the rectangle is half the base of the rectangle, then:
- (a)
x = h
- (b)
x =
- (c)
x =
- (d)
x =
Solution
Discuss
ReportIn ∆ABC, CD is the median and E is the mid-point of CD and AE extended meets BC at F. AB, BC and CA are 5, 6 and 7 cm. Find CF.
- (a)
3.1
- (b)
2.5
- (c)
2
- (d)
3.45
Area of triangle S1 is 36 cm2. Another triangle S2 is made by joining mid-points of S1. Another triangle S3 is made by joining mid-points of S2. This process is repeated indefinitely. What will be the sum of area of all such triangles formed.
- (a)
48
- (b)
72
- (c)
60
- (d)
Cannot be determined
In the figure given below EF || BC, AE = BE and DG = GE. In area of ∆AEF = 10 cm2, find the area of ∆DGH.
- (a)
10
- (b)
5
- (c)
15
- (d)
12.5
- (e)
Cannot be determined
In an isosceles triangle ∆ABC, AB = AC. It is folded along the altitude AD such that AB and AC overlap. The triangle obtained is also an isosceles triangle whose area is 8 cm2. Find AB.
- (a)
2√2
- (b)
8
- (c)
4
- (d)
4√2
The altitudes of triangle are 12,15 and 20 units. Find the area (in sq. units) of the triangle.
[Type in your answer as the nearest possible integer]
If the altitudes of a triangle are 3, 4 and 6. Find the inradius of this triangle.
- (a)
3/2
- (b)
2/3
- (c)
4/3
- (d)
3/4
- (e)
Cannot be determined
In the triangle given, BD : DC = 2 : 3, AF : FC = 3 : 4. Find BE : EF.
- (a)
9 : 14
- (b)
14 : 9
- (c)
8 : 15
- (d)
8 : 15
- (e)
Cannot be determined