altitude of the bigger triangle is 5 cm, find the corresponding altitude of the other. [CBSE 2002] 34. The areas of two similar triangles are 121 cm2 and 64 cm2 respectively. If the median of the first triangle is 12.1 cm, find the corresponding median of the other. [CBSE 2001] 35. The areas of two similar triangles ABC and PQR are in the ratio ... abc is an isosceles triangle with lad labl and Lacb 900. Find bd. lbcl, 50 Without using a calculator construct the angle A such that 6 tan A S, < ABC is a light angled triangle. ILACBI and = 10 cm. 10 cm Z Calculate the length of [AB), correct to two decimal places. 600

From a point outside of an equilateral triangle, the distances to the vertices are 10m, 18m and 10m, respectively. What is the length of one side of a triangle? 17.75 m 18.50 m 19.95 m 20.50 m The sides of a triangle are 8 cm, 10 cm and 14 cm. Determine the radius of the inscribed circle. 2.25 cm 2.35 cm 2.45 cm 2.55 cm What is the radius of ... Let altitude of the triangle is =h and base = x Given the area of a triangle with base x is equal to the area of a square with side x. We know Δ = x 2 ⇒ Δ = 1/2 * x * (height) = x 2 ⇒ h = 2x. Height/altitude of triangle is 2x.

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So, the altitude to the longest side is 9.6 cm. Problem 5 : Area of a triangle is 1176 cm 2. If its base and corresponding altitude are in the ratio 3 : 4, then find the the altitude of the triangle. Solution : From the given information, base of the triangle = 3x altitude = 4x. area of the triangle = 1176 (1/2) x (3x) x (4x) = 1176 c) All medians of a triangle are inside the triangle. d) Altitude of a triangle can be outside the triangle. e) Bisectors of a triangle can be outside a triangle. f) A triangle with altitude coinsiding with one of its sides exists. This is a 60-60-60 triangle (that is, an equilateral triangle), with sides having a length of two units. Drop the vertical bisector from the top angle down to the bottom side: Note that this bisector is also the altitude (height) of the triangle. Note that the length of the hypotenuse (10 cm) in this triangle is twice the length of the shortest side (5 cm). When this is the case the angles of the triangle are always 30°, 60°and 90°. Example 3 . Find the area of an equilateral triangle with sides of length10 cm. We begin by drawing in the height, h, of the triangle. This divides the ... Constructing an altitude from any base divides the equilateral triangle into two right triangles, each one of which has a hypotenuse equal to the original equilateral triangle's side, and a leg ½ that length. The other leg of the right triangle is the altitude of the equilateral triangle, so solve using the Pythagorean Theorem: a 2 + b 2 = c 2

1) A pyramid with a triangular base with each side of length 10 cm. The slant height of the pyramid is 12 cm. Find the lateral surface area and the total surface area of this pyramid. Solution : In pyramid (P – ABC), AB= BC = CA = 10 cm and slant height PD = 12 cm Lateral surface area = ½ pl = ½ x 30 x 12 = 180 cm 2 Area of ΔABC = (√3 x ... The length of one side of an equilateral triangle is 4 EXACT! centimeters. Find the length of an altitude of the triangle. A. cm c. cm D. cm If Crystal is standing on a 15-foot diving board, and her friend Pablo is 48 feet from the spot in the pool undemeath the diving board, what is the angle of depression from Crystal to Pablo, to the Find the volume of a right prism with height h=10 cm, if the base is an equilateral triangle with side 4 cm, base altitude of ≈ 3.5 cm. - 10010143

Jul 15, 2016 · 41.6cm to 1dp Let's sketch the situation. Every side of an equilateral triangle is the same length by definition, so once we find one side we shall have the perimeter. Looking at the right hand side of the triangle, we see it forms a smaller, right angled triangle. We can use trigonometry to find x. Remember SOH CAH TOA and observe that we have the opposite side and are looking for the ... Find the length of the altitude of an equilateral triangle of side 2a cm. ... Each side of an equilateral triangle measure 10 cm. Find the area of the triangle .

Given an equilateral triangle of side 10cm. Altitude of an equilateral triangle is also a median If all sides are equal, then 21 of one side is 5cm.

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