PLEASE HELPPP
1 answer:
Answer:
(a) AH < HC is No
(b) AH < AC is Yes
(c) △AHC ≅ △AHB is Yes
Step-by-step explanation:
Given
See attachment for triangle
Solving (a): AH < HC
Line AH divides the triangle into two equal right-angled triangles which are: ABH and ACH (both right-angled at H).
To get the lengths of AH and HC, we need to first determine the measure of angles HAC and ACH. The largest of those angles will determine the longest of AH and HC. Since the measure of the angles are unknown, then we can not say for sure that AH < HC because the possible relationship between both lines are: AH < HC, AH = HC and AH > HC
Hence: AH < HC is No
Solving (b): AH < AC
Length AC represents the hypotenuse of triangle ACH, hence it is the longest length of ACH.
This means that:
AH < AC is Yes
Solving (c): △AHC ≅ △AHB
This has been addresed in (a);
Hence:
△AHC ≅ △AHB is Yes
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Answer:
5981.25 m²
Step-by-step explanation:
1. Divide the court into two sections. One section being the semicircle, the other being the rectangle.
2. Multiply 100 by 50 to get the area of the rectangle, which is 5000.
3. Divide 50 by 2 to get the radius of the semicircle, which is 25.
4. Find the formula used for area of a semicircle A = r²
5. Insert 25 into where the "r" is in the equation: A = (25²), resulting in about 981.25. (I replaced
with 3.14)
6. Add the area of the rectangle with the area of the semicircle, 5000 + 981.25 = 5981.25.
7. The final answer is 5981.25 m².