Saved Bookmarks
| 1. |
Which test is applied 1. sas 2. asa 3. aa 4. saa In triangle ABC and triangle XYZ, for ABC corresponds to XYZ, if AB≅ XY,∠A≅ ∠X,∠B≅ ∠Y, then triangle ABC≅ triangle XYZ, by --- reply fast |
|
Answer» ong>Answer: Mark me as Brainlist Step-by-step explanation: In Triangle ABC:
a2 = b2 + c2 - 2BC cos A a2 = 212 + 152 - 2 × 21 × 15 × Cos75° a2 = 441 + 225 - 630 × 0.2588... a2 = 666 - 163.055... a2 = 502.944... So a = √502.94 = 22.426... In Triangle XYZ:
x2 = y2 + z2 - 2YZ cos X x2 = 142 + 102 - 2 × 14 × 10 × Cos75° x2 = 196 + 100 - 280 × 0.2588... x2 = 296 - 72.469... x2 = 223.530... So x = √223.530... = 14.950... Now let us check the ratio of those two sides:
a : x = 22.426... : 14.950... = 3 : 2
the same ratio as before! |
|