In an isosceles ΔABC, if AC = BC and , then ∠C = ?
Given:
In an isosceles ΔABC, AC = BC and AB2 = 2AC2,
Concept & Solution:
For an isosceles ΔABC, AC = BC and AB2 = 2AC2,
The given isosceles triangle will be a right-angle isosceles triangle and have right angle at C.
Hence, option 4 is correct.
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In a triangle, sides are proportional to 7:9:14. If the shortest side is 14 cm, find the perimeter.
In the given figure, angle ABD = 110 degrees and angle ACE = 125 degrees. What is the value (in degrees) of angle BAC?
In the given figure, angle ABC = 65 degrees and angle ACD = 120 degrees.
What is the value (in degrees) of angle BAC?
If the sides of a triangle are in the ratio of 1:√3:2, then what is the ratio of its corresponding angles ?
In △ABC, AB = AC = 12 cm, BC = 5 cm and D is a point on AC such that DB = BC. What is the measure of CD?
A right-angled triangle has a hypotenuse of 13 cm and one leg of 5 cm. A second right-angled triangle is similar to the first, and its hypotenuse is 39 cm. What is the area of the second triangle?
In a quadrilateral ABCD, a line segment BD is a diagonal such that AB=CD and ∠ABD=∠CDB. Are the triangles ABD and CDB congruent? If so, by what rule?
In a trapezoid ABCD with AB parallel to CD, the diagonals AC and BD intersect at E. What is the ratio of the area of △ABE to the area of △CDE?
A right triangle ABC is inscribed in a circle with a diameter of 10 cm. An altitude BD is drawn from the vertex B to the hypotenuse AC. If the length of the leg AB is 6 cm, what is the length of the segment AD?
Suggested Test Series
Suggested Test Series
If the angles of a triangle are 4x°, 3x°, 2x° then 1/4x° =
In a triangle, sides are proportional to 7:9:14. If the shortest side is 14 cm, find the perimeter.
In the given figure, angle ABD = 110 degrees and angle ACE = 125 degrees. What is the value (in degrees) of angle BAC?
In the given figure, angle ABC = 65 degrees and angle ACD = 120 degrees.
What is the value (in degrees) of angle BAC?
If the sides of a triangle are in the ratio of 1:√3:2, then what is the ratio of its corresponding angles ?
In △ABC, AB = AC = 12 cm, BC = 5 cm and D is a point on AC such that DB = BC. What is the measure of CD?
A right-angled triangle has a hypotenuse of 13 cm and one leg of 5 cm. A second right-angled triangle is similar to the first, and its hypotenuse is 39 cm. What is the area of the second triangle?
In a quadrilateral ABCD, a line segment BD is a diagonal such that AB=CD and ∠ABD=∠CDB. Are the triangles ABD and CDB congruent? If so, by what rule?
In a trapezoid ABCD with AB parallel to CD, the diagonals AC and BD intersect at E. What is the ratio of the area of △ABE to the area of △CDE?
A right triangle ABC is inscribed in a circle with a diameter of 10 cm. An altitude BD is drawn from the vertex B to the hypotenuse AC. If the length of the leg AB is 6 cm, what is the length of the segment AD?
