Maths-
General
Easy
Question
Use the information in the diagram. What is the length of side BC of △ ABC ? Explain your reasoning.
Hint:
Use triangle midsegment theorem.
The correct answer is: BC = 16.
Complete step by step solution:
A midsegment of a triangle is a segment that connects the midpoints of two sides of
a triangle. Its length is always half the length of the 3rd side of the triangle.
Here, AG = 4 and E is the midpoint of AG.
AF = 10and D is the midpoint of AF.
So, here DE is the midsegment and is parallel to FG.
⇒ FG=8
Here, AB = 8 and G is the midpoint of AB.
AC = 20 and F is the midpoint of AC.
So, here FG is the midsegment and is parallel to CB.
⇒ BC=16
Hence the length of BC = 16.
Here, AB = 8 and G is the midpoint of AB.
AC = 20 and F is the midpoint of AC.
So, here FG is the midsegment and is parallel to CB.
Hence the length of BC = 16.
Related Questions to study
Maths-
Given: P(0,h), Q(h,0), R(-h,0)
Prove: △ PQR is an isosceles triangle.
Given: P(0,h), Q(h,0), R(-h,0)
Prove: △ PQR is an isosceles triangle.
Maths-General
Maths-
A rectangle with side lengths 3h and k has a vertex at (2h, k). Which point cannot be a vertex of the rectangle?
A rectangle with side lengths 3h and k has a vertex at (2h, k). Which point cannot be a vertex of the rectangle?
Maths-General
Maths-
Use △ ABC, where M, N, Q are midpoints of the sides.
MQ = 3y − 5, AC = 4y + 2
Use △ ABC, where M, N, Q are midpoints of the sides.
MQ = 3y − 5, AC = 4y + 2
Maths-General
Maths-
M and N are midpoints of the sides AB and AC respectively.
Which of the given statements is NOT correct?
M and N are midpoints of the sides AB and AC respectively.
Which of the given statements is NOT correct?
Maths-General
Maths-
Use △ ABC, where M, N, Q are midpoints of the sides.
MN = 3x + 8, BC = 2x + 24
Use △ ABC, where M, N, Q are midpoints of the sides.
MN = 3x + 8, BC = 2x + 24
Maths-General
Maths-
Place the figure in a coordinate plane in a convenient way.
Assign coordinates to each vertex.
Right triangle: leg lengths are a and b.
Place the figure in a coordinate plane in a convenient way.
Assign coordinates to each vertex.
Right triangle: leg lengths are a and b.
Maths-General
Maths-
Place the figure in a coordinate plane in a convenient way.
Assign coordinates to each vertex.
Rectangle: length is l and width is b.
Place the figure in a coordinate plane in a convenient way.
Assign coordinates to each vertex.
Rectangle: length is l and width is b.
Maths-General
Maths-
Place the figure in a coordinate plane in a convenient way.
Assign coordinates to each vertex.
Square: side length is 4.
Place the figure in a coordinate plane in a convenient way.
Assign coordinates to each vertex.
Square: side length is 4.
Maths-General
Maths-
Place the figure in a coordinate plane in a convenient way. Assign coordinates to each vertex. Isosceles right triangle: leg length is 5 units.
Place the figure in a coordinate plane in a convenient way. Assign coordinates to each vertex. Isosceles right triangle: leg length is 5 units.
Maths-General
Maths-
Place the figure in a coordinate plane in a convenient way.
Assign coordinates to each vertex. Right triangle: leg lengths are 3 units and 4 units.
Place the figure in a coordinate plane in a convenient way.
Assign coordinates to each vertex. Right triangle: leg lengths are 3 units and 4 units.
Maths-General
Maths-
Salim wants to purchase tickets from a vendor to watch a tennis match. The vendor charges a one-time service fee for processing the purchase of the tickets. The equation T = 15n +2 represents the total amount T , in dollars, Salim will pay for tickets. What does 12 represent in the equation?
Salim wants to purchase tickets from a vendor to watch a tennis match. The vendor charges a one-time service fee for processing the purchase of the tickets. The equation T = 15n +2 represents the total amount T , in dollars, Salim will pay for tickets. What does 12 represent in the equation?
Maths-General
Maths-
In △ PQR, DE is the midsegment.
Find the value of x and the length of side PQ.
In △ PQR, DE is the midsegment.
Find the value of x and the length of side PQ.
Maths-General
Maths-
In△ ABC, AN = BN, BM = MC
Find AC.
In△ ABC, AN = BN, BM = MC
Find AC.
Maths-General
Maths-
The segment connecting the midpoints of two sides of a
triangle is
The segment connecting the midpoints of two sides of a
triangle is
Maths-General
Maths-
The segment connecting the midpoints of two sides of a
triangle is
The segment connecting the midpoints of two sides of a
triangle is
Maths-General
