Congruent sides, so isosceles triangle. When we have an isosceles triangle the bisector of angle A is a perpendicular bisector of BC with foot D. So x=ADB=90 degrees.
Angle B is 47 degrees and angle y=BAD is complementary, the other acute angle in a right triangle.
y = 90 - 47 = 43
Answer: x=90, y=43
The area for the square is given, and it is 36. To simply find the length of each side, all you have to do is take the area and square root it. The square root of 36 ( ask yourself what number times itself is equal to 36? To get your answer or input it in the calculator. ) is 6. So, the answer is 6 and each side of the quilt is a length of 6.
Y=(1/2)x cause the constant variation is 1/2
AT first we should know that: The line segment connecting the midpoints of two sides of a triangle
is parallel to the third side and is congruent to one half of the third
side.
In ΔRKT:
RK = 12, EM = 7.5, and MT = 9<span>
</span>
<span>E is the midpoint of RK
</span>
<span>P is the midpoint of KT
</span>
M is the midpoint of RT
So, EP // RT and EP = 0.5 RT = MT = 9
And MP // RK and MP = 0.5 RK = 0.5 *12 = 6
And EM // KT and EM = 0.5 KT = 7.5 ⇒⇒ KT = 15
P is the midpoint of KT ⇒⇒⇒ KP = PT = 7.5
∴ EP = 9 , MP = 6 , PT = 7.5 and KT = 15
So, The correct choices are (3) and (4)
PT = 7.5 and KT = 15