10POINTS !!
2 answers:
Step-by-step explanation:
<h3> length </h3>a + b = 18cm
a = 18 - b
<h3> Area </h3>a² + b² = 212cm²
(18-b)² + b² = 212
324 - 36b + b² + b² = 212
2b² - 36b + 112 = 0
b² - 18b + 56 = 0
b² - 4b - 14b + 56 = 0
b(b-4) -14(b - 4) = 0
(b-4) (b-14) = 0
b-4 = 0 OR. b-14 = 0
b = 4 cm b = 14 cm
so 4cm < 14cm
so , length of a side of the smaller square is 4cm .......
And , large square's = 14cm .....
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we know that
The quadrilateral ABCD is a isosceles trapezoid. The properties of the isosceles trapezoid are as follows:
-The lower base angles are congruent.
So
m∠A=m∠D
m∠B=m∠C
m∠A+m∠B=°
m∠D+m∠C=°
therefore
m∠D=m∠A=°
m∠B=-m∠A
m∠B=-
m∠B=°
m∠C=m∠B=°
<u>the answer is</u>
The measure of angle ADC is °