Question

Work out the length of x in the triangle below
If your answer is is decimal, give it to 1 d.p.

Answer 1

8 m

Explanation:

You want the length x that gives a triangle area of 26 m² when the angle between side x and side 13 m is 30°.

Area

The area formula is ...

A = 1/2ab·sin(C)

26 = 1/2(13)(x)·sin(30°) = 13/4x . . . . . use given values

x = (4/13)(26) = 8 . . . . . . divide by the coefficient of x

The length x in the triangle is 8 m.

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