Posted by **Sofia** on Saturday, October 27, 2012 at 10:51pm.

Each base of an isosceles triangle measures 42 degrees, 30'. The base is 14.6 meters long.

a. Find the length of a leg of the triangle

b. Find the altitude of the triangle

c. What is the area of the triangle?

- geometry -
**Reiny**, Saturday, October 27, 2012 at 11:22pm
make a sketch, marking the angles

draw the altitude, cutting the base into 2 parts of 7.3 each, and giving you right-angled triangles.

a) leg of triangle = hypotenuse of the right-angled triangle, call it c

cos 42.5 = 7.3/c

c = 7.3/cos 42.5 = ....

b) altitude --- h

tan 42.5 = h/7.3

h = 7.3tan 42.5 = ....

c) area - (1/2) base x heigh

= (1/2)(14.6)(h) , the h from b)

= ....

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