Using exterior angle formula, you get that ∠CAD=36+123=159°
Exterior angle formula says that the angles facing CAB (ACB and ABC) sum to CAD.
We have P = 3 x a (the formula of the perimeter); 26 = 3 x a ; we obtain a = 26/3;
Then, we have <span>the Pythagorean Theorem in one of two rectangular and congruent triangles :</span>
h² = a² - (a/2)² = a² - a²/4 = 4a²/4 - a²/4 =<span> 3a²/4</span>
It follows that
h = √(3a²/4) = a√3/2 ≈ 0,866*a ≈ 7,5 centimeter.
Answer:
x = 114
Step-by-step explanation:
since the triangles are congruent then corresponding angles are congruent, then
∠ C = ∠ D , that is
x + 18 = 132 ( subtract 18 from both sides )
x = 114
1/2 or 1 whole that's the answer
It is the sum of the exponents of all its variables