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प्रश्न
State whether the two triangles are congruent or not. Justify your answer
उत्तर
Let the two triangles be ∆XYZ and ∆XYW
Here ∠W = ∠Z = 90°
`bar("XY") = bar("XY")` ...(Common Hypothenure)
`bar("XW") = bar("XZ")` ...(given)
By RHS criterion ∆XYZ ≅ ∆XYW
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संबंधित प्रश्न
Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, using the RHS congruence rule. In the case of congruent triangles, write the result in symbolic form:
∆ABC, ∠B = 90°, AC = 8 cm, AB = 3 cm.
∆PQR, ∠P = 90°, PR = 3 cm, QR = 8 cm.
ABC is an isosceles triangle with AB = AC and AD is one of its altitudes.
(i) State the three pairs of equal parts in ∆ADB and ∆ADC.
(ii) Is ∆ADB ≅ ∆ADC? Why or why not?
(iii) Is ∠B = ∠C? Why or why not?
(iv) Is BD = CD? Why or why not?
Is ΔPRQ ≡ ΔQSP? Why?
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In the given pairs of triangles of the figure, using only RHS congruence criterion, determine which pairs of triangles are congruent. In congruence, write the result in symbolic form:
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In the given figure, QS ⊥ PR, RT ⊥ PQ and QS = RT.
- Is ∆QSR = ∆RTO? Give reasons.
- Is ∠PQR = ∠PRQ? Give reasons.
