Let, one leg be x units.
since the other leg is 9.0 units shorter than the other,
the measure of the other leg =x-9
hypotenuse =13.0 units
According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.
x^2 +(x-9)^2 =13^2
x^2 + x^2 -18x +81 = 169
2x^2-18x-88=0
Divide the whole equation by 2
x^2 - 9x -44 =0
Let's use the quadratic formula to find the roots.
formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a
a=1 b=-9 c=-44
x= [9±sqrt(81+176)]/2
=[9±sqrt(257)]/2
=[9±16.03]/2
=25.03/2 or -7.03/2
length of a triangle cannot be negative,
Therefore, x=25.03/2 =12.52
one leg =12.5 units
other leg =12.52-9 =3.5 units
Answer:
Step-by-step explanation:
- <em>This is a cyclic quadrilateral (all vertices on the same circle)</em>
<u>Opposite angles are supplementary:</u>
- ∠A + ∠C = 180°
- ∠B + ∠D = 180°
<u>Find x:</u>
- x + 5 + x - 7 = 180°
- 2x - 2 = 180°
- 2x = 182°
- x = 91°
<u>Find D:</u>
- ∠D = x - 14°
- ∠D = 91° - 14° = 77°
<u>Find B:</u>
Answer:
Step-by-step explanation:
√3y/√y
= √(3y/y)
= √3
Answer:
hilghkiii
Step-by-step explanation:
Its 3. Because 5*3 is 15 and 9*3 is 27
