1. Questions

Trig

An isosceles triangle has a height of 12.5 m (measured from the unequal side) and two equal angles that measure 55°. Determine the area of the triangle.

Split in half the triangle is a right triangle, so it's three angles are 90%, 55% and 70%.

I'm still not sure how to find the area.

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
R

  1. If the base is 2x, then

    12.5/x = tan 55°

    The area is just 12.5x

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Steve

  2. If you split it in half, the three angles are 90, 55, and 35 for one half. You basically find the base of one half of the triangle, multiply it by 2 (to find the base of the full triangle), multiply that by the height and divide it by 2:

    tan55=12.5/x
    xtan55/tan55=12.5/tan55
    x=8.7526 (Rounded)

    2x=2(8.7526)=17.5052 (Rounded)

    A=bh/2
    A=(17.5052)(12.5)/2
    A=109.4m^2 (Rounded)

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Moiz

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    1. Find the length of the missing side of the right triangle (A triangle is shown to have a base of 15 cm and a height of 8 cm. The slope of it is unmarked A. 289 cm B. 17 cm *** C. 23 cm D. 4.79 cm 2. Find the length of the

  2. GEOMETRY

    The sides of a triangle are 8,15 and 18 the shortest side of a similar triangle is 10 how long are the other sides? Find the scale factor of similar triangles whose sides are 4,12,20 and 5,15,25 Assume that traingle xyz is similar

  3. geometry (check answers)

    Determine whether you can construct many, one, or no triangle(s) with the given description. a) a triangle with angle measures of 50°, 70°, and 100° no b) a triangle with one angle measure of 60° and one 4-centimeter side no

  4. geometry

    If two medians of a triangle are equal, prove that the triangle formed by a segment of each median and the third side is an isosceles triangle.

  1. Math

    Can someone please check to see if I answered these true and false statements correctly? Thank you! 1. A triangle can have two right angles. (TRUE??) 2. An equilateral triangle is also an acute. (TRUE??) 3. A right triangle can

  2. Math

    9. Which value could be the length of the missing side of the triangle? There's an isosceles triangle and one length on one side is 5 and the other is 12, and an x at the top. What is the length of x? A. 5 B. 7 C.17 D.12 Help i

  3. Geometry

    A triangle has side lengths of 4, 5, and 6. Which of the following correctly classifies this triangle. Acute, Right, Obtuse, Isosceles.

  4. Math--Area

    Find the area of each regular polygon to the nearest tenth. Octagon with side length of 10 kilometers. Heres what I tried; but I don't know if im on the right track. Area=1/2 * Perimeter* Apothem Perimeter=base of octagon* number

  1. Math

    Use the congruent triangles shown to answer question 6 and 7. 6. A. B. C. D. 7. Side BC is congruent to which side? A. ZX B. YX C. XY D. YZ 8. in the image below, ABC ~ DEF What is the length of EF and the measure of A. 27; 41 B.

  2. Geometry

    An Isosceles triangle has a 96degree angle. What are the measures of the other 2 angles? Do all triangles have to add up to 180degrees? If so, than this isn't possible because an isosceles triangle has 2 sides the same length.

  3. Calculus

    AN ISOSCELES TRIANGLE IS TO HAVE A PERIMETER OF 64CM. DETERMINE THE SIDE LENGTHS OF THE TRIANGLE IF THE AREA IS TO BE A MAXIMUM.

  4. math

    the perimeter of a isosceles triangle is 28cm with side 4y=6y-2x+1 and base x+2y in cm, find x and y and state the length of the side of the triangle.

View more similar questions or ask a new question.