Unit 7: Right Triangles and Trigonometry Homework 2: Special Right Triangles


The value of the variables for x and y that are in the first triangle respectively will be 13 and 18.38.
From the information given, the variables can be found by using sine and Pythagoras identity.
Here, tan 45° = x/13.
1 = x/13
x = 1 × 13
x = 13
The value of y will be calculated thus:
y² = 13² + 13²
y² = 169 + 169
y² = 338
y = ✓338
y = 18.38.
The value of y will be 18.38.
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