If Δ XYZ ≅ Δ LMR, then m + x + p = ____________.
9
Given:
Δ XYZ ≅ Δ LMR
Formula:
If Δ XYZ ≅ Δ LMR, then
XY/LM = YZ/MR = XZ/LR
Calculation:
XY/LM = YZ /M R = XZ /L R
2m + 1 = 5 ........(1)
2p + 2 = 8 ........(2)
2X - 1 = 7 ........(3)
Adding all 3 equations:
⇒ 2m + 2p + 2X + 2 = 20
⇒ 2m + 2p + 2x = 18
⇒ m + p + x = 9
The value is 9
Similar Questions
If sides of a triangle are 12 cm, 15 cm and 21 cm, then what is the inradius (in cm) of the triangle?
In ΔPQR, PQ = PR and S is a point on QR such that ∠PSQ = 96° + ∠QPS and ∠QPR = 132°. What is the measure of ∠PSR?
In the figure, AB = AD = 9 cm and AC = AE = 13 cm and BC = 15 cm. Find ED?
The length of each side of a triangle is 12 cm. What is the length of the circumradius of the triangle?
If m∠C = m∠Z and AC = XZ, then which of the following conditions is necessary for ΔABC and ΔXYZ to be congruent?
Let ABC, PQR be two congruent triangles such that angle A = angle P = 90°. If BC = 13 cm, PR = 5 cm, find AB.
In the given figure, 'G' is the centre of the circle. Find the angle ACB when ∠AGB = 132°
ΔABC ~ ΔDEF and the perimeters of ΔABC and ΔDEF are 40 cm and 12 cm, respectively. If DE = 6 cm, then AB is:
If in acute-angled triangle ABC, AL, BM, and CN are the three altitudes of triangle ABC, then which of the following statements will be true?
The mid points of AB and AC of a ΔABC are X and Y, respectively. If BC + XY = 18 cm , then the value of BC - XY is:
Important Questions from Triangles, Congruence and Similarity
G is the centroid of the equilateral triangle ABC. If AB = 8√ 3 cm, then the length of AG is equal to:
If sides of a triangle are 12 cm, 15 cm and 21 cm, then what is the inradius (in cm) of the triangle?
What is the area of quadrilateral ABCD?
It is given that ΔABC ~ ΔXYZ and Area ΔABC : Area ΔXYZ = 81 : 25. If AB = 18 cm, BC = 10 cm, CA = 15 cm, then what is the side XZ (in cm)?
Sides of two similar triangles are in the ratio 4 ∶ 9. Area of these triangles are in the ratio:
