Answer:
Leg1 = 9 and leg2 = 12
Step-by-step explanation:
<u>Points to remember</u>
<u>Pythagorean theorem</u>
Hypotenuse² = Base² + Height²
<u>To find the length of each leg</u>
It is given that, hypotenuse = 15 feet
Let base = x the height = x +3
By using Pythagorean theorem we can write,
Hypotenuse² = Base² + Height²
15² = x² + (x + 3)²
225 = x² + x² + 6x + 9
2x² + 6x + 216 = 0
x² + 3x + 108 = 0
By solving we get x = 9 and x -12
Therefore one leg = 9 and other leg = 9 + 3 = 12
Answer:
66.4°
Step-by-step explanation:
To find the angle XYZ, we are to use sine rule. For this, we have to first find ∠Z.
Given that: ∠X = 90° (right angle), XY = 6 cm, YZ = 15 cm. Hence:
∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)
90 + ∠Y + 23.6 = 180
113.6 + ∠Y = 180
∠Y = 180 - 113.6
∠Y = 66.4°
∠Y = ∠XYZ = 66.4°
Answer:
A link for a calculator that I use for ratios
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/math/ratios.php
Answer:
8 21/100
Step-by-step explanation:
8.21 is read "eight and twenty-one hundredths". The mixed number "eight and twenty-one hundredths" is written ...
8 21/100
