geometry
posted by Sofia .
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?

make a sketch, marking the angles
draw the altitude, cutting the base into 2 parts of 7.3 each, and giving you rightangled triangles.
a) leg of triangle = hypotenuse of the rightangled 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)
= ....
Respond to this Question
Similar Questions

math
i have trouble finding the answer to this and how to srt. there is a square and i havbe to find the area. HOweever inside the square is a triangle. the base of the triangle is 3 and the leg is 7. no height is given. plz help. Is this … 
algebra
The base of an isosceles triangle and one of its legs have lengths that have consecutive integers. The leg is longer than the base. The perimeter of the triangle is 20. Find the length of each side of the triangle. *Please help me … 
Trigonometry
Each base angle of an isosceles triangle measures 42°. The base is 14.6 feet long. A) Find the length of a leg of the triangle. Round to the nearest tenth of a foot. B) Find the altitude of the triangle. Round to the nearest tenth … 
Trigonometry
Each base angle of an isosceles triangle measures 42°. The base is 14.6 feet long. A) Find the length of a leg of the triangle. Round to the nearest tenth of a foot. B) Find the altitude of the triangle. Round to the nearest tenth … 
math
the perimeter of isosceles triangle is 70 d. of the length of a leg of the triangle is 5 dm less than twice the lenth of the base, find the lengths of the sides of the triangle. 
geometry
Find the length of the altitude to the base of an isosceles triangle if the length of one leg is 17 and the base is 16. 
math
an altitude of triangle is 5/3rd of the length of its corresponding base if their altitude be increased by 4cm and the base is decreased by 2cm, the area of the triangles remain the same. find the base and altitude of triangle ? 
Math
The base of an isosceles triangle is 4x cm long.The altitude to the base is 6cm long.Find the length of a leg of the triangle. 
Geometry
A farmer is estimating the surface area of his barn to find how much paint he needs to buy. One part of the barn is triangular as shown. The base of the triangle is 22 meters long Both angles on either side connecting the base to each … 
math
a rectangle with side of 6 cm and 5 cm has the same area as an isosceles triangle with base length 12 cm find the altitude to the base of the triangle and the sides of the triangle