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The vertex angle of an isosceles triangl...

The vertex angle of an isosceles triangle is `35^(@)`. The length of the base is 10 centimeters. How many centimeters are in the perimeter?

A

16.6

B

17.4

C

20.2

D

43.3

Text Solution

Verified by Experts

The correct Answer is:
D
Drop the altidue from the vertex to the base. The altitude bisects both the vertex angle and the base, cutting the triangle into two congruent right triangles.
since `sin17.5^(@)=5)/("leg"),"leg"=(5)/(sin17.5^(@))=(5)/(0.3007)~~16.628` cm and the perimeter=`2(16.628)+10=43.3cm`.
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