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Triangles

Legs (sides other than the hypotenuse) of a right triangle are of lengths 16cm and 8 cm. Find the length of the side of the largest square that can be inscribed in the triangle.

08/11/2024

Mathematics

10th

Triangles

Is it true to say that if in two triangles, an angle of one triangle is equal to an angle of another triangle and two sides of one triangle are proportional to the two sides of the other triangle, then the triangles are similar? Give reasons for your answer.

08/11/2024

Mathematics

10th

Triangles

D is a point on side QR of ΔPQR such that PDQR. Will it be correct to say that ΔPQDΔRPD? Why?

08/11/2024

Mathematics

10th

Triangles

The ratio of the corresponding altitudes of two similar triangles is 3/5. Is it correct to say that ratio of their areas is 6/5 ? Why?

08/11/2024

Mathematics

10th

Triangles

If in two right triangles, one of the acute angles of one triangle is equal to an acute angle of the other triangle, can you say that the two triangles will be similar? Why?

08/11/2024

Mathematics

10th

Triangles

Two sides and the perimeter of one triangle are respectively three times the corresponding sides and the perimeter of the other triangle. Are the two triangles similar? Why?

08/11/2024

Mathematics

10th

Triangles

Is the following statement true? Why?
“Two quadrilaterals are similar, if their corresponding angles are equal”.

08/11/2024

Mathematics

10th

Triangles

A and B are respectively the points on the sides PQ and PR of a triangle PQR such that PQ = 12.5 cm, PA = 5 cm, BR= 6 cm and PB = 4 cm. Is AB|| QR?Give reasons for your answer.

08/11/2024

Mathematics

10th

Triangles

It is given that ΔDEF ~ ΔRPQ. Is it true to say that ∠D = ∠R and ∠F = ∠P? Why?

08/11/2024

Mathematics

10th

Triangles

P and Q are the points on the sides DE and DF of a triangle DEF such that DP = 5 cm, DE = 15 cm, DQ= 6 cm and QF = 18 cm. Is PQ|| EF? Give reasons for your answer

08/11/2024

Mathematics

10th