Question
Exercise 4 - the line (AC) is perpendicular to the line (AB) - the line (EB) is perpendicular to the line (AB) - the lines (AE) and (BC) intersect at D - AC = 2.4 cm; BD = 2.5 cm: DC = 1.5 cm Determine the area of triangle ABE.
273
likes1367 views
Answer to a math question Exercise 4 - the line (AC) is perpendicular to the line (AB) - the line (EB) is perpendicular to the line (AB) - the lines (AE) and (BC) intersect at D - AC = 2.4 cm; BD = 2.5 cm: DC = 1.5 cm Determine the area of triangle ABE.
Hermann
4.6126 Answers
Identify the Right Angles:
AC is perpendicular to AB
EB is perpendicular to AB
This implies that triangle ABC is a right triangle.
Find Lengths:
AC = 2.4 cm
BD = 2.5 cm
DC = 1.5 cm
Use the Pythagorean Theorem in Triangle ABC:
Using the Pythagorean theorem (a^2 + b^2 = c^2), we can find the length of AB.
AC^2 + BC^2 = AB^2
(2.4)^2 + (2.5)^2 = AB^2
5.76 + 6.25 = AB^2
12.01 = AB^2
AB ≈ sqrt(12.01)
AB ≈ 3.47 cm
Calculate the Area of Triangle ABE:
The area of a triangle is given by the formula:
Area = (1/2) * base * height
In this case, the base is AB and the height is DC.
Area = (1/2) * AB * DC
≈ (1/2) * 3.47 cm * 1.5 cm
≈ 2.60 square cm
The area of triangle ABE is approximately 2.60 square centimeters.
Frequently asked questions (FAQs)
Math question: How many different ways can 5 students be selected from a group of 10 to form a committee? (Combination & Permutations)
+
Question: Find the value of x in the equation log₂(x) + log₄(x) = 3.
+
Math question: Graph the exponential function y = 3^x - 2, for x values ranging from -3 to 3. (
+
New questions in Mathematics