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If triangle PQR is congruent to triangle STU which statement must be true?
PQ ST
How do you prove rhs congruence?
Here is the answer to your query. Consider two ∆ABC and ∆PQR. In these two triangles ∠B = ∠Q = 90�, AB = PQ and AC = PR. We can prove the R.H.S congruence rule i.e. to prove ∆ABC ≅ ∆PQR We need the help of SSS congruence rule. We have AB = PQ, and AC = PR So, to prove ∆ABC ≅ ∆PQR in SSS congruence rule we just need to show BC = QR Now, using Pythagoras theorems in ∆ABC and ∆PQR Now, in ∆ABC and ∆PQR AB = PQ, BC = QR, AC = PR ∴ ∆ABC ≅ ∆PQR [Using SSS congruence rule] So, we have AB = PQ, AC = PR, ∠B = ∠Q = 90� and we have proved ∆ABC ≅ ∆PQR. This is proof of R.H.S. congruence rule. Hope! This will help you. Cheers!!!
The perimeters of two similar triangles abc and pqr are 36 cm and 24 cm respectively if pq equals 10 cm find ab?
Since 36=24+1/2.24 and abc and pqr are similar, ab= 10+1/2.10=15.
Which expression gives the length of PQ in the triangle shown below?
A triangle has 3 line segments
If pq and rs intersect to from four right angles what is true?
Is PQ |_ RS
If triangle PQR is congruent to triangle STU which statement must be true?
PQ ST
How do you make r the subject of the formula m equals pqr over s?
m = pqr/s Multiply both sides by s: ms = pqr Divide both sides by pq: ms/pq = r
How do you prove rhs congruence?
Here is the answer to your query. Consider two ∆ABC and ∆PQR. In these two triangles ∠B = ∠Q = 90�, AB = PQ and AC = PR. We can prove the R.H.S congruence rule i.e. to prove ∆ABC ≅ ∆PQR We need the help of SSS congruence rule. We have AB = PQ, and AC = PR So, to prove ∆ABC ≅ ∆PQR in SSS congruence rule we just need to show BC = QR Now, using Pythagoras theorems in ∆ABC and ∆PQR Now, in ∆ABC and ∆PQR AB = PQ, BC = QR, AC = PR ∴ ∆ABC ≅ ∆PQR [Using SSS congruence rule] So, we have AB = PQ, AC = PR, ∠B = ∠Q = 90� and we have proved ∆ABC ≅ ∆PQR. This is proof of R.H.S. congruence rule. Hope! This will help you. Cheers!!!
The perimeters of two similar triangles abc and pqr are 36 cm and 24 cm respectively if pq equals 10 cm find ab?
Since 36=24+1/2.24 and abc and pqr are similar, ab= 10+1/2.10=15.
Find the ratio of area of the triangles ABC and PQR such that AB = BC=CA = 6m each and PQ, QR, RP are half of the sides AB BC and CA respectively?
Since the sides of triangle are equal, the triangles are equilateral. Just for your information, in this question, we do not require the length of sides. It is just additional information. :) The area of equilateral triangle is: (√3)/4 × a², where a is the side of the equilateral triangle. For triangle ABC, area will be = (√3)/4 × a² (Let 'a' is the side of triangle ABC) Since, side of triangle PQR is half that of ABC, it will be = a/2 Therefore, area of triangle PQR = (√3)/4 × (a/2)² = (√3)/16 × a² Take the ratio of areas of triangle ABC and PQR: [(√3)/4 × a²] / [(√3)/16 × a²] = 4:1
Triangle pqr is an isosceles triangle in which pq equals pr equals 5cm it is circumscribed about a circle prove that qr is bisected at point of contact?
Suppose the circle meets QR at A, RP at B and PQ at C. PQ = PR (given) so PC + CQ = PB + BR. But PC and PB are tangents to the circle from point P, so PC = PB. Therefore CQ = BR Now CQ and AQ are tangents to the circle from point Q, so CQ = AQ and BR and AR are tangents to the circle from point R, so BR = AR Therefore AQ = AR, that is, A is the midpoint of QR.
Which expression gives the length of PQ in the triangle shown below?
A triangle has 3 line segments
If triangle poq is similar to aob given that op equals 7cm oa equals 10.5cm pq equals 6cm and ob equals 9cm find the lengths of oq andab?
Not sure the exact length but the connection is 3oq=2ob , 3/2oq=ob
Solve py plus qz equals pq by charpit method in partial differential equation?
z=pq
If pq and rs intersect to from four right angles what is true?
Is PQ |_ RS
In triangle ABC P and Q are the mid points of AB and AC prove that PQ parallel to BC?
In triangle ABC, let P and Q be the midpoints of sides AB and AC, respectively. By the Midpoint Theorem, the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. Therefore, since PQ connects the midpoints P and Q, it follows that PQ is parallel to side BC of triangle ABC. This establishes that PQ is parallel to BC, as required.
If PQ 20 and QR 22 Then what does PR equal?
To find the length of PR, you can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, PR must be less than the sum of PQ and QR, so PR < 20 + 22 = 42. Therefore, PR could be any value less than 42.
