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Geometry Practice Test 6
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© examsnet.com
Question : 2
Total: 39
The ratio of length of each equal side and the third side of an isosceles triangle is 3 : 4. If the area of the triangle is 18
√
5
square unit, the third side is
8
√
2
unit
12 unit
16 unit
5
√
10
unit
Validate
Solution:
Area of the triangle =
18
√
5
Ratio of equal side and third side = 3a : 4a
b
4
√
4
a
2
−
b
2
=
18
√
5
4
a
4
√
4
(
3
a
)
2
−
(
4
a
)
2
=
18
√
5
a
√
36
a
2
−
16
a
2
=
18
√
5
a
2
a
√
5
=
18
√
5
2
a
2
= 18
a
2
= 9
a = 3
Third side = 4a = 4 × 3 = 12 units
© examsnet.com
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