Geometry Triangle assignment

  1. Find the measures of the following to the nearest tenth of a degree.
geometry triangle assignment image 1


  1. HT is the hypotenuse of a right angled triangle HWT thus we use Pythagoras theorem stating a2 + b2 = c2 where c is the hypotenuse side thus Ht2 = hw2 +wt2

Ht2 =152 + 82, HT2 = 289, HT= √ (289), HT =17

  1. Angle T we use cosine where cosine of angle T is adjacent side to this angle t divided by hypotenuse. Thus cos inverse of this value gives us value of <T

COS (T) = 8/17, <T = COS-1 (8/17), <T cos-1(0.4706) = 61.9 0

<T = 61.9 0

  1. What is the area of the given triangle?
geometry triangle assignment image 2


To calculate the area of the above triangle we will use the formula,

Area = ½ *a*b * sin (c) ,where a and b are any two given sides of the triangle and c is the angle between the two sides thus

Area = ½ *7*13* sin (38), 1/2*7cm*13cm*sin (38) = 28.0126 cm2

  1. If X and Y are complementary angles sinX=15/17, and cosX=8/17, find each of the following :
  1. tan X =
  1. sin Y =
  1. cos Y =
  1. tsn Y =


First we put the given information into a diagram

We know Sin x = opposite side /hypotenuse side, cos x = adjacent side /hypotenuse

Thus this is a triangle with opposite side =15, adjacent side = 8 and hypotenuse =17

Also it’s a right angled triangle since 82 = 152 =172=289

geometry triangle assignment image 3
  1. Tan x =opposite/ adjacent = 15/8 =1.875
  2. Sin y = opposite/hypotenuse = 8/17 = 0.4706
  3. Cos y= adjacent/ hypotenuse = 15/17 = 0.8824
  4. Tan y = opposite/hypotenuse =8/15 = 0.5333
Want latest solution of this assignment
AssignmentHippo Features
  • On Time Delivery

    Our motto is deliver assignment on Time. Our Expert writers deliver quality assignments to the students.

  • Plagiarism Free Work

    Get reliable and unique assignments by using our 100% plagiarism-free services.

  • 24 X 7 Live Help

    The experienced team of AssignmentHippo has got your back 24*7. Get connected with our Live Chat support executives to receive instant solutions for your assignment problems.

  • Services For All Subjects

    We can build quality assignments in the subjects you're passionate about. Be it Programming, Engineering, Accounting, Finance and Literature or Law and Marketing we have an expert writer for all.

  • Best Price Guarantee

    Get premium service at a pocket-friendly rate. At AssignmentHippo, we understand the tight budget of students and thus offer our services at highly affordable prices.