# Extended mathematics

In the diagram,LMN=ONM=90 degree.P is the mid point of MN,MN=2ML and MN=NO,Prove that (a)the triangles MNL and NOP are congruent

1. 👍 0
2. 👎 0
3. 👁 519
1. I have tried to sketch this out, and It does not make sense.

1. 👍 0
2. 👎 0
2. angle LMN= angle ONM = 90 degree (given)
MN= NO(given)
RHS
LN=OP
MNL is congruent to NOP

1. 👍 1
2. 👎 0
3. In the triangles MNL and NOP. <LMN=ONM=90 (given) ,MN=NO, MN=2ML (given), MNÃ·2=ML,MP=ML,MP=PN (P is the midpoint of MN). Therefore, ML=PN and since there are two sides and an angle, triangle MNL=NOP(SAS).

1. 👍 0
2. 👎 0
4. Hie,
Regards

Style.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### extended mathematics

In the diagram,

asked by capriana on February 10, 2018
2. ### maths

construct a triangle KMN with angle LMN= 60 degrees, MN = 9cm and LM 7cm. measure and state size of

asked by cilco on May 17, 2011
3. ### math

Given: segment AC and segment BD bisect each other at E prove: E is the midpoint of segment RS i don't know if you will be able to visualize the picture but just incase someone is i really need help on the proof for this one.

asked by rebekah on October 23, 2010
4. ### Year 11 Maths

The points A(-1,-2) B(6,2) and C(4,6) form a triangle ABC. M is the mid-point of AB and N is the mid-point of AC. Prove that MN is parallel to BC and equal in length to half the length of BC.

asked by Reema on August 19, 2014
5. ### Trig - Ambiguous Case of the Sine Law

This is the question: In triangle LMN, angle LMN = 42 degrees, LN = 32mm, and LM = 42 mm. Calculate all possible measures of angle MLN to the nearest degree. Use the sine ratio and show your work.

asked by Anonymous on February 10, 2019
6. ### Math

Suppose line GH is congruent to line JK, line HE is congruent to line KL, and angle 1 is congruent to angle L. Can you prove that triangle GHI is congrunet to triangke JKL, abd if so, how? A. You can use SAS to prove the triangles

asked by Bettey on October 8, 2018
7. ### Math

Triangle L'M'N' is a dilation of triangle LMN. If the scale factor of the dilation is 1/5, which of the following statements is true? Triangle L'M'N' is a rotation of triangle LMN. Triangle L'M'N' is the same size as triangle LMN.

asked by Anonymous on May 8, 2014
8. ### Geometry

The diagram shows to triangles connected at one vertex. The tops of the triangles are both right angles. The angles closest to the vertex are 30 degrees and the other is a variable (c). I'm confused on how to find the value of c,

asked by Nia on November 5, 2013
9. ### biomechanics

When a weight-lifter lifts a weight equal to his upper body weight his trunk makes an angle of 40 degrees, with the vertical, as shown in the diagram below. In this position the erector spinae muscles exert a large force on the

asked by dmkp on December 12, 2012
10. ### Geometry

D is the mid-point of side AB of the triangle ABC, E is mid-point of CD and F is mid-point of AE. Prove that: Area (triangle AFD) =Area (triangle ABC).

asked by Aman on January 18, 2011

More Similar Questions