Question

If in triangle ABC and Triangle XYZ we have AB = XY, AC = XZ, but...

If in triangle ABC and Triangle XYZ we have AB = XY, AC = XZ, but m<A > m<X, then BC > YZ. Conversely, if BC > YZ then m<A > m<X.

Math   Geometry   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Given : and are triangles. AB = XY , AC = XZ, but

Prove that :

Proof :

In and ,

....... (given)...... 1.

........ (given)...... 2.

Suppose If IT WAS GIVEN

Then ................... (By Congruence rule: If two sides and its including angle are congruent to the corresponding two sides and including angle of another triangle, then both the sides are congruent by S-A-S test)

.................. (Corresponding sides of congruent triangles)

But GIVEN is :

......... (Theorem : Side opposite to Greater angle is Greater....)....(3)

Conversely,

If GIVEN IS :

then ........... (Converse of above (3) : Angle opposite to Greater side is Greater......)

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that the incircle of triangle ABC touches AB at Z, BC at X, and AC...
Suppose that the incircle of triangle ABC touches AB at Z, BC at X, and AC at Y . Show that AX, BY , and CZ are concurrent.
ABC is a right-angled triangle with right angle at A, and AB > AC. Let D...
ABC is a right-angled triangle with right angle at A, and AB > AC. Let D be the midpoint of the side BC, and let L be the bisector of the right angle at A. Draw a perpendicular line to BC at D, which meets the line L at point E. Prove that (a) AD=DE; and (b) ∠DAE=1/2(∠C−∠B) Hint: Draw a line from A perpendicular to BC, which meets BC in the point F
Consider the triangle ABC. Suppose that the perpendicular bisectors of line segments AB and BC intersect...
Consider the triangle ABC. Suppose that the perpendicular bisectors of line segments AB and BC intersect at point X. Prove that X is on the perpendicular bisector of line segment AC.
We have a triangle ABC. a=|BC|, b=|CA|, c=|AB| and ∠A=v , ∠B=r , and ∠C=z Calculate...
We have a triangle ABC. a=|BC|, b=|CA|, c=|AB| and ∠A=v , ∠B=r , and ∠C=z Calculate c, if we know that ∠C is acute and a=8, b=3 and sin (z) = 1/7
If ?ABC is an isosceles triangle where AB¯?AC¯, m?A=(2x?20)°, and m?B=(3x+5)°, then m?C=__________°.
If ?ABC is an isosceles triangle where AB¯?AC¯, m?A=(2x?20)°, and m?B=(3x+5)°, then m?C=__________°.
In an isosceles triangle ABC ,AB‌=BC,angle B=20 . M and N are on AB and BC...
In an isosceles triangle ABC ,AB‌=BC,angle B=20 . M and N are on AB and BC respectively such that angle MCA =60, angle NAC =50.find angle MNC
Prove that given △ABC and △A′B′C′, if we have AB ≡ A′B′ and BC≡B′C′,then B<B′ if...
Prove that given △ABC and △A′B′C′, if we have AB ≡ A′B′ and BC≡B′C′,then B<B′ if and only if AC<A′C′. You cannot use measures.
Triangle ABC is a right angle triangle in which ∠B = 90 degree, AB = 5...
Triangle ABC is a right angle triangle in which ∠B = 90 degree, AB = 5 units , BC = 12 units. CD and AE are the angle bisectors of ∠C and ∠A respectively which intersects each other at point I. Find the area of the triangle DIE.
In △ABC, AB = 15 cm, BC = 10 cm, and AC = 6 cm. Find...
In △ABC, AB = 15 cm, BC = 10 cm, and AC = 6 cm. Find the measure of angle B to the nearest degree.
NON EUCLIDEAN GEOMETRY Prove the following: Claim: Let AD the altitude of a triangle ▵ABC. If...
NON EUCLIDEAN GEOMETRY Prove the following: Claim: Let AD the altitude of a triangle ▵ABC. If BC is longer than or equal to AB and AC, then D is the interior of BC. What happens if BC is not the longest side? Is D still always in the interior of BC? When is D in the interior?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT