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
A rectangular school banner
has a length of 44 inches, a perimeter of 156 inches, and an area of 1,496
square inches. the cheerleaders make signs similar to the banner. the length of
a sign is 11 inches. First solve the width of the rectangle:
1496 sq in/ 44 = 34 in
So the sign has also a width
of 34 in and a length of 11 so the area is 34*11 =374 sq in
<span>The perimeter is (34*2)
+(11*2) =90 in</span>
Answer:
B. Hope this helps
Step-by-step explanation: