Question
A rectangle has a side that is 6,2cm and a diagonal that is 12,5cm. calculate the perimeter of the rectangle
170
likes851 views
Answer to a math question A rectangle has a side that is 6,2cm and a diagonal that is 12,5cm. calculate the perimeter of the rectangle
Brice
4.8113 Answers
1. Assign the known values: one side of the rectangle is a = 6.2\, \text{cm} d = 12.5\, \text{cm}
2. Use the Pythagorean theorem to find the other sideb
d^2 = a^2 + b^2
12.5^2 = 6.2^2 + b^2
156.25 = 38.44 + b^2
b^2 = 156.25 - 38.44
b^2 = 117.81
b = \sqrt{117.81}
b \approx 10.85 \, \text{cm}
3. Calculate the perimeterP
P = 2a + 2b
P = 2(6.2) + 2(10.85)
P = 12.4 + 21.7
P = 34.1 \, \text{cm}
2. Use the Pythagorean theorem to find the other side
3. Calculate the perimeter
Frequently asked questions (FAQs)
Math Question: In ΔABC, if ∠A = ∠B and AB = AC, prove that ΔABC is an isosceles triangle.
+
Math Question: What is the rule for proving two triangles are congruent using the side-angle-side (SAS) criterion?
+
What is the resultant displacement when adding a vector of magnitude 3.5 km in the north direction and a vector of magnitude 2.7 km in the east direction?
+
New questions in Mathematics