Skyzer puts together two isoclsceles triangles so that they share a base, creating like a kite. The legs of the two triangles are 10 inches and 17 inches, respectively. If the length of the base for both triangles is 16 inches long, what is the length of the kite's other diagonal?
Show solution po plss
kailangan ko po ngayon
Show solution po plss
kailangan ko po ngayon
Answers & Comments
1) Smaller diagonal of the kite: 16 inches
2) Larger diagonal of the kite: height of one triangle (h1)+h epsilon height of the other triangle (h2)
3) Calculation of the height of the smaller triangle, h1:
10^ ^ 2=(16/2)^ ^ 2+(h1)^ ^ 2=>h1= sqrt [10^ ^ 2-8^ ^ 2] =6
4) Calculation of the height of the larger triangle, h2
17^ ^ 2=(16/2)^ ^ 2+(h2)^ ^ 2 Rightarrow h2= sqrt [17^ 2-8^ ^ 2]= 15
5) Larger diagonal onal=h1+h2=6+15=21